Log in

Relevant bibliographies by topics / Projective Plane Curves / Journal articles

To see the other types of publications on this topic, follow the link: Projective Plane Curves.

Journal articles on the topic 'Projective Plane Curves'

Author: Grafiati

Published: 4 June 2021

Last updated: 15 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Projective Plane Curves.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

DE BOBADILLA, J. FERNÁNDEZ, I. LUENGO-VELASCO, A. MELLE-HERNÁNDEZ, and A. NÉMETHI. "ON RATIONAL CUSPIDAL PROJECTIVE PLANE CURVES." Proceedings of the London Mathematical Society 92, no. 1 (2005): 99–138. http://dx.doi.org/10.1017/s0024611505015467.

Full text

Abstract:

In 2002, L. Nicolaescu and the fourth author formulated a very general conjecture which relates the geometric genus of a Gorenstein surface singularity with rational homology sphere link with the Seiberg--Witten invariant (or one of its candidates) of the link. Recently, the last three authors found some counterexamples using superisolated singularities. The theory of superisolated hypersurface singularities with rational homology sphere link is equivalent with the theory of rational cuspidal projective plane curves. In the case when the corresponding curve has only one singular point one know

APA, Harvard, Vancouver, ISO, and other styles

2

Journal, Baghdad Science. "Classification of Elliptic Cubic Curves Over The Finite Field of Order Nineteen." Baghdad Science Journal 13, no. 4 (2016): 846–52. http://dx.doi.org/10.21123/bsj.13.4.846-852.

Full text

Abstract:

Plane cubics curves may be classified up to isomorphism or projective equivalence. In this paper, the inequivalent elliptic cubic curves which are non-singular plane cubic curves have been classified projectively over the finite field of order nineteen, and determined if they are complete or incomplete as arcs of degree three. Also, the maximum size of a complete elliptic curve that can be constructed from each incomplete elliptic curve are given.

APA, Harvard, Vancouver, ISO, and other styles

3

Brady, M., and S. Peterson. "A Derivation of the Pole Curve Equations in the Projective Plane." Journal of Mechanical Design 117, no. 1 (1995): 123–28. http://dx.doi.org/10.1115/1.2826096.

Full text

Abstract:

Traditional four-position mechanism synthesis focuses on the poles corresponding to four displacements of a rigid body. From these poles equations for the center-point and circle-point curves are developed. However, if a pole is infinite (the associated displacement is a pure translation), the established derivations for the pole curve equation break down. One can eliminate this problem by expressing the pole curve equation in the projective plane, because all points, including points at infinity, have finite homogeneous coordinates. In this paper, the pole curve equation is derived in the pro

APA, Harvard, Vancouver, ISO, and other styles

4

Malara, Grzegorz, Piotr Pokora, and Halszka Tutaj-Gasińska. "On 3-syzygy and unexpected plane curves." Geometriae Dedicata 214, no. 1 (2021): 49–63. http://dx.doi.org/10.1007/s10711-021-00602-5.

Full text

Abstract:

AbstractIn this note we study curves (arrangements) in the complex projective plane which can be considered as generalizations of free curves. We construct families of arrangements which are nearly free and possess interesting geometric properties. More generally, we study 3-syzygy curve arrangements and we present examples that admit unexpected curves.

APA, Harvard, Vancouver, ISO, and other styles

5

Nunemacher, Jeffrey. "Asymptotes, Cubic Curves, and the Projective Plane." Mathematics Magazine 72, no. 3 (1999): 183. http://dx.doi.org/10.2307/2690881.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

LÊ, QUY THUONG. "ALEXANDER POLYNOMIALS OF COMPLEX PROJECTIVE PLANE CURVES." Bulletin of the Australian Mathematical Society 97, no. 3 (2018): 386–95. http://dx.doi.org/10.1017/s0004972717001198.

Full text

Abstract:

We compute the Alexander polynomial of a nonreduced nonirreducible complex projective plane curve with mutually coprime orders of vanishing along its irreducible components in terms of certain multiplier ideals.

APA, Harvard, Vancouver, ISO, and other styles

7

Nunemacher, Jeffrey. "Asymptotes, Cubic Curves, and the Projective Plane." Mathematics Magazine 72, no. 3 (1999): 183–92. http://dx.doi.org/10.1080/0025570x.1999.11996729.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Thorbergsson, Gudlaugur, and Masaaki Umehara. "Sextactic points on a simple closed curve." Nagoya Mathematical Journal 167 (2002): 55–94. http://dx.doi.org/10.1017/s0027763000025435.

Full text

Abstract:

AbstractWe give optimal lower bounds for the number of sextactic points on a simple closed curve in the real projective plane. Sextactic points are after inflection points the simplest projectively invariant singularities on such curves. Our method is axiomatic and can be applied in other situations.

APA, Harvard, Vancouver, ISO, and other styles

9

A'Campo, Norbert. "On the Shape of projective plane algebraic Curves." Mathematical Research Letters 2, no. 5 (1995): 537–39. http://dx.doi.org/10.4310/mrl.1995.v2.n5.a2.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Dixmier, J. "On the projective invariants of quartic plane curves." Advances in Mathematics 64, no. 3 (1987): 279–304. http://dx.doi.org/10.1016/0001-8708(87)90010-7.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Wall, C. T. C. "Duality of real projective plane curves: Klein's equation." Topology 35, no. 2 (1996): 355–62. http://dx.doi.org/10.1016/0040-9383(95)00021-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Casas-Alvero, Eduardo. "Syzygies and projective generation of plane rational curves." Journal of Algebra 427 (April 2015): 183–214. http://dx.doi.org/10.1016/j.jalgebra.2015.01.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Kamel, Alwaleed, and Waleed Khaled Elshareef. "Weierstrass points of order three on smooth quartic curves." Journal of Algebra and Its Applications 18, no. 01 (2019): 1950020. http://dx.doi.org/10.1142/s0219498819500208.

Full text

Abstract:

In this paper, we study the [Formula: see text]-Weierstrass points on smooth projective plane quartic curves and investigate their geometry. Moreover, we use a technique to determine in a very precise way the distribution of such points on any smooth projective plane quartic curve. We also give a variety of examples that illustrate and enrich the subject.

APA, Harvard, Vancouver, ISO, and other styles

14

ARTAL BARTOLO, E., J. I. COGOLLUDO-AGUSTÍN, and A. LIBGOBER. "ALBANESE VARIETIES OF CYCLIC COVERS OF THE PROJECTIVE PLANE AND ORBIFOLD PENCILS." Nagoya Mathematical Journal 227 (October 5, 2016): 189–213. http://dx.doi.org/10.1017/nmj.2016.54.

Full text

Abstract:

The paper studies a relation between fundamental group of the complement to a plane singular curve and the orbifold pencils containing it. The main tool is the use of Albanese varieties of cyclic covers ramified along such curves. Our results give sufficient conditions for a plane singular curve to belong to an orbifold pencil, that is, a pencil of plane curves with multiple fibers inducing a map onto an orbifold curve whose orbifold fundamental group is nontrivial. We construct an example of a cyclic cover of the projective plane which is an abelian surface isomorphic to the Jacobian of a cur

APA, Harvard, Vancouver, ISO, and other styles

15

DIMCA, ALEXANDRU, and GABRIEL STICLARU. "Chebyshev curves, free resolutions and rational curve arrangements." Mathematical Proceedings of the Cambridge Philosophical Society 153, no. 3 (2012): 385–97. http://dx.doi.org/10.1017/s0305004112000138.

Full text

Abstract:

AbstractFirst we construct a free resolution for the Milnor (or Jacobian) algebra M(f) of a complex projective Chebyshev plane curve d : f = 0 of degree d. In particular, this resolution implies that the dimensions of the graded components M(f)k are constant for k ≥ 2d − 3.Then we show that the Milnor algebra of a nodal plane curve C has such a behaviour if and only if all the irreducible components of C are rational.For the Chebyshev curves, all of these components are in addition smooth, hence they are lines or conics and explicit factorizations are given in this case.

APA, Harvard, Vancouver, ISO, and other styles

16

Duyaguit, Ma Cristina Lumakin, and Hisao Yoshihara. "Galois Lines for Normal Elliptic Space Curves." Algebra Colloquium 12, no. 02 (2005): 205–12. http://dx.doi.org/10.1142/s1005386705000192.

Full text

Abstract:

Let C be a curve, and l and l0 be lines in the projective three space ℙ3. Consider a projection πl: ℙ3 ⋯ → l0 with center l, where l ⋂ l0= ∅. Restricting πl to C, we obtain a morphism πl|C : C → l0 and an extension of fields (πl|C)* : k(l0) ↪ k(C). If this extension is Galois, then l is said to be a Galois line. We study the defining equations, automorphisms and the Galois lines for quartic curves, and give some applications to the theory of plane quartic curves.

APA, Harvard, Vancouver, ISO, and other styles

17

ADACHI, Yukinobu. "On the hyperbolicity of projective plane with lacunary curves." Journal of the Mathematical Society of Japan 46, no. 2 (1994): 185–93. http://dx.doi.org/10.2969/jmsj/04620185.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Gadgil, Siddhartha. "The projective plane, J-holomorphic curves and Desarguesʼ theorem". Comptes Rendus Mathematique 351, № 23-24 (2013): 915–20. http://dx.doi.org/10.1016/j.crma.2013.10.022.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

Taflin, Johan. "Invariant Elliptic Curves as Attractors in the Projective Plane." Journal of Geometric Analysis 20, no. 1 (2009): 219–25. http://dx.doi.org/10.1007/s12220-009-9104-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

20

DU PLESSIS, A. A., and C. T. C. WALL. "Application of the theory of the discriminant to highly singular plane curves." Mathematical Proceedings of the Cambridge Philosophical Society 126, no. 2 (1999): 259–66. http://dx.doi.org/10.1017/s0305004198003302.

Full text

APA, Harvard, Vancouver, ISO, and other styles

21

Gorskaya, Victoriya A., and Grigory M. Polotovskiy. "On the disposition of cubic and pair of conics in a real projective plane." Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva 22, no. 1 (2020): 24–37. http://dx.doi.org/10.15507/2079-6900.22.202001.24-37.

Full text

Abstract:

In the first part of the 16th Hilbert problem the question about the topology of nonsingular projective algebraic curves and surfaces was formulated. The problem on topology of algebraic manifolds with singularities belong to this subject too. The particular case of this problem is the study of curves that are decompozable into the product of curves in a general position. This paper deals with the problem of topological classification of mutual positions of a nonsingular curve of degree three and two nonsingular curves of degree two in the real projective plane. Additiolal conditions for this

APA, Harvard, Vancouver, ISO, and other styles

22

FRIEDMAN, MICHAEL, MAXIM LEYENSON, and EUGENII SHUSTIN. "ON RAMIFIED COVERS OF THE PROJECTIVE PLANE I: INTERPRETING SEGRE'S THEORY (WITH AN APPENDIX BY EUGENII SHUSTIN)." International Journal of Mathematics 22, no. 05 (2011): 619–53. http://dx.doi.org/10.1142/s0129167x11006945.

Full text

Abstract:

We study ramified covers of the projective plane ℙ2. Given a smooth surface S in ℙN and a generic enough projection ℙN → ℙ2, we get a cover π: S → ℙ2, which is ramified over a plane curve B. The curve B is usually singular, but is classically known to have only cusps and nodes as singularities for a generic projection. The main question that arises is with respect to the geometry of branch curves; i.e. how can one distinguish a branch curve from a non-branch curve with the same numerical invariants? For example, a plane sextic with six cusps is known to be a branch curve of a generic projectio

APA, Harvard, Vancouver, ISO, and other styles

23

ROUYER, JOËL. "A CHARACTERIZATION OF THE REAL PROJECTIVE PLANE." International Journal of Mathematics 21, no. 12 (2010): 1605–17. http://dx.doi.org/10.1142/s0129167x10006653.

Full text

Abstract:

It is proved in this article, that in the framework of Riemannian geometry, the existence of large sets of antipodes (i.e. farthest points) for diametral points of a smooth surface has very strong consequences on the topology and the metric of this surface. Roughly speaking, if the sets of antipodes of diametral points are closed curves, then the surface is nothing but the real projective plane.

APA, Harvard, Vancouver, ISO, and other styles

24

Bisztriczky, Tibor. "On the Singularities of Plane Curves." Canadian Journal of Mathematics 38, no. 4 (1986): 947–68. http://dx.doi.org/10.4153/cjm-1986-047-3.

Full text

Abstract:

Let Γ be a differentiable curve in a real projective plane P2 met by every line of P2 at a finite number of points. The singular points of Γ are inflections, cusps (cusps of the first kind) and beaks (cusps of the second kind). Let n1(Γ), n2(Γ) and n3(Γ) be the number of these points in Γ respectively. Then Γ is non-singular ifotherwise, Γ is singular.We wish to determine when T is singular and then find the minimum value of n(Γ). A history and an analysis of this problem were presented in [1] and [2]. It was shown that we may assume that Γ is a curve of even order (even degree if Γ is algebra

APA, Harvard, Vancouver, ISO, and other styles

25

Duran Cunha, Gregory. "Curves containing all points of a finite projective Galois plane." Journal of Pure and Applied Algebra 222, no. 10 (2018): 2964–74. http://dx.doi.org/10.1016/j.jpaa.2017.11.008.

Full text

APA, Harvard, Vancouver, ISO, and other styles

26

KISHIMOTO, Takashi. "Projective plane curves whose complements have logarithmic Kodaira dimension one." Japanese journal of mathematics. New series 27, no. 2 (2001): 275–310. http://dx.doi.org/10.4099/math1924.27.275.

Full text

APA, Harvard, Vancouver, ISO, and other styles

27

YOSHIHARA, Hisao. "Projective plane curves and the automorphism groups of their complements." Journal of the Mathematical Society of Japan 37, no. 1 (1985): 87–113. http://dx.doi.org/10.2969/jmsj/03710087.

Full text

APA, Harvard, Vancouver, ISO, and other styles

28

Pignoni, Roberto. "Integral relations for pointed curves in a real projective plane." Geometriae Dedicata 45, no. 3 (1993): 263–87. http://dx.doi.org/10.1007/bf01277967.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

LANGE, H., and E. SERNESI. "SEVERI VARIETIES AND BRANCH CURVES OF ABELIAN SURFACES OF TYPE (1, 3)." International Journal of Mathematics 13, no. 03 (2002): 227–44. http://dx.doi.org/10.1142/s0129167x02001381.

Full text

Abstract:

A polarized abelian surface (A, L) of type (1, 3) induces a 6:1 covering of A onto the projective plane with branch curve, a plane curve B of degree 18. The main result of the paper is that for a general abelian surface of type (1, 3), the curve B is irreducible and reduced and admits 72 cusps, 36 nodes or tacnodes, each tacnode counting as 2 nodes, 72 flexes and 36 bitangents. The main idea of the proof is that for a general (A, L) the discriminant curve in the linear system |L| coincides with the closure of the Severi variety of curves in |L| admitting a node and is dual to the curve B in th

APA, Harvard, Vancouver, ISO, and other styles

30

TSUKAMOTO, MASAKI. "Deformation of Brody curves and mean dimension." Ergodic Theory and Dynamical Systems 29, no. 5 (2009): 1641–57. http://dx.doi.org/10.1017/s014338570800076x.

Full text

Abstract:

AbstractThe main purpose of this paper is to show that ideas of deformation theory can be applied to ‘infinite-dimensional geometry’. We develop the deformation theory of Brody curves. A Brody curve is a kind of holomorphic map from the complex plane to the projective space. Since the complex plane is not compact, the parameter space of the deformation can be infinite-dimensional. As an application we prove a lower bound on the mean dimension of the space of Brody curves.

APA, Harvard, Vancouver, ISO, and other styles

31

Cao, Yu, Ting Ting Yu, Xue Lin Hu, and Feng Pin Li. "A New Method of Parallel Projective Galvanometer Scanning for Laser Material Processing on Freeform Surfaces." Applied Mechanics and Materials 483 (December 2013): 9–13. http://dx.doi.org/10.4028/www.scientific.net/amm.483.9.

Full text

Abstract:

A new method of parallel projection galvanometer scanning (PPGS) is presented, as a low-cost, flexible, trans-scale solution for laser material processing on freeform surfaces. The parallel projection transformation is used for mapping three-dimensional space curves to terraced two-dimensional plane graphics that each one is suitable for traditional galvanometer scanning method. For implementation of the PPGS method, a parallel projective laser scanning system with the combination of galvanometer and telecentric lens is needed, that the laser is directed along the space curve path on freeform

APA, Harvard, Vancouver, ISO, and other styles

32

Luo, Zhongxuan, Erbao Feng, and Jielin Zhang. "Computing Singular Points of Projective Plane Algebraic Curves by Homotopy Continuation Methods." Discrete Dynamics in Nature and Society 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/230847.

Full text

Abstract:

We present an algorithm that computes the singular points of projective plane algebraic curves and determines their multiplicities and characters. The feasibility of the algorithm is analyzed. We prove that the algorithm has the polynomial time complexity on the degree of the algebraic curve. The algorithm involves the combined applications of homotopy continuation methods and a method of root computation of univariate polynomials. Numerical experiments show that our algorithm is feasible and efficient.

APA, Harvard, Vancouver, ISO, and other styles

33

Tanabe, Hiromasa. "Isotropic immersions of the Cayley projective plane and Cayley Frenet curves." Kodai Mathematical Journal 34, no. 2 (2011): 301–16. http://dx.doi.org/10.2996/kmj/1309829552.

Full text

APA, Harvard, Vancouver, ISO, and other styles

34

Carlsson, S., R. Mohr, T. Moons, et al. "Semi-local projective invariants for the recognition of smooth plane curves." International Journal of Computer Vision 19, no. 3 (1996): 211–36. http://dx.doi.org/10.1007/bf00055145.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Costa, Paolo. "New distinct curves having the same complement in the projective plane." Mathematische Zeitschrift 271, no. 3-4 (2011): 1185–91. http://dx.doi.org/10.1007/s00209-011-0909-4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Dimca, Alexandru, and Gabriel Sticlaru. "On the exponents of free and nearly free projective plane curves." Revista Matemática Complutense 30, no. 2 (2017): 259–68. http://dx.doi.org/10.1007/s13163-017-0228-3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

CASTORENA, ABEL. "A FAMILY OF PLANE CURVES WITH MODULI 3g-4." Glasgow Mathematical Journal 49, no. 3 (2007): 417–22. http://dx.doi.org/10.1017/s0017089507003783.

Full text

Abstract:

AbstractIn the moduli space$\mathcal{M}_g$of smooth and complex irreducible projective curves of genusg, let$\mathcal{GP}_g$be the locus of curves that do not satisfy the Gieseker-Petri theorem. Let$\mathcal{GP}^1_{g,d}$be the subvariety ofGPgformed by curvesCof genusgwith a pencilg1d=(V, L∈G1d(C) free of base points for which the Petri map μV:V⊗H0(C,KC⊗L−1)→H0(C,KC) is not injective. Forg≥8, we construct in this work a family of irreducible plane curves of genusgwith moduli$3g-4 in GP g-2.$

APA, Harvard, Vancouver, ISO, and other styles

38

Wennink, Thomas. "Counting the number of trigonal curves of genus 5 over finite fields." Geometriae Dedicata 208, no. 1 (2020): 31–48. http://dx.doi.org/10.1007/s10711-019-00508-3.

Full text

Abstract:

AbstractThe trigonal curves of genus 5 can be represented by projective plane quintics that have one singularity of delta invariant one. Combining this with a partial sieve method for plane curves we count the number of such curves over any finite field. The main application is that this gives the motivic Euler characteristic of the moduli space of trigonal curves of genus 5.

APA, Harvard, Vancouver, ISO, and other styles

39

Pokora, Piotr. "Hirzebruch-type inequalities and plane curve configurations." International Journal of Mathematics 28, no. 02 (2017): 1750013. http://dx.doi.org/10.1142/s0129167x17500136.

Full text

Abstract:

In this paper, we come back to a problem proposed by F. Hirzebruch in the 1980s, namely whether there exists a configuration of smooth conics in the complex projective plane such that the associated desingularization of the Kummer extension is a ball quotient. We extend our considerations to the so-called [Formula: see text]-configurations of curves in the projective plane and we show that in most cases for a given configuration the associated desingularization of the Kummer extension is not a ball quotient. Moreover, we provide improved versions of Hirzebruch-type inequality for [Formula: see

APA, Harvard, Vancouver, ISO, and other styles

40

Yamanoi, Katsutoshi. "Holomorphic curves in algebraic varieties of maximal albanese dimension." International Journal of Mathematics 26, no. 06 (2015): 1541006. http://dx.doi.org/10.1142/s0129167x15410062.

Full text

Abstract:

We prove a second main theorem type estimate in Nevanlinna theory for holomorphic curves f : Y → X from finite covering spaces Y → ℂ of the complex plane ℂ into complex projective manifolds X of maximal albanese dimension. If X is moreover of general type, then this implies that the special set of X is a proper subset of X. For a projective curve C in such X, our estimate also yields an upper bound of the ratio of the degree of C to the geometric genus of C, provided that C is not contained in a proper exceptional subset in X.

APA, Harvard, Vancouver, ISO, and other styles

41

Muhammed Uludağ, A. "Fundamental groups of a class of rational cuspidal plane curves." International Journal of Mathematics 27, no. 12 (2016): 1650104. http://dx.doi.org/10.1142/s0129167x16501044.

Full text

Abstract:

We compute the presentations of fundamental groups of the complements of a class of rational cuspidal projective plane curves classified by Flenner, Zaidenberg, Fenske and Saito. We use the Zariski–Van Kampen algorithm and exploit the Cremona transformations used in the construction of these curves. We simplify and study the group presentations so obtained and determine if they are abelian, finite or big, i.e. if they contain free non-abelian subgroups. We also study the quotients of these groups to some extent.

APA, Harvard, Vancouver, ISO, and other styles

42

Holay, Sandeep H. "Generators of Ideals Defining Certain Surfaces in Projective Space." Canadian Journal of Mathematics 48, no. 3 (1996): 585–95. http://dx.doi.org/10.4153/cjm-1996-030-0.

Full text

Abstract:

AbstractWe consider the surface obtained from the projective plane by blowing up the points of intersection of two plane curves meeting transversely. We find minimal generating sets of the defining ideals of these surfaces embedded in projective space by the sections of a very ample divisor class. All of the results are proven over an algebraically closed field of arbitrary characteristic.

APA, Harvard, Vancouver, ISO, and other styles

43

Némethi, András. "On the fundamental group of the complement of certain singular plane curves." Mathematical Proceedings of the Cambridge Philosophical Society 102, no. 3 (1987): 453–57. http://dx.doi.org/10.1017/s0305004100067505.

Full text

Abstract:

Let C be a complex algebraic curve in the projective space ℙ2. The purpose of this paper is to calculate the fundamental group G of the complement of C in the case when C = X ∩ H1 ∩ … ∩ Hn−2, whereand Hi are generic hyperplanes (i = 1, … n − 2).

APA, Harvard, Vancouver, ISO, and other styles

44

Yang, Liu. "Uniqueness polynomials for holomorphic curves into the complex projective space." Filomat 34, no. 2 (2020): 351–56. http://dx.doi.org/10.2298/fil2002351y.

Full text

Abstract:

In this paper, by making use of uniqueness polynomials for meromorphic functions, we obtain a class of uniqueness polynomials for holomorphic curves from the complex plane into complex projective space. The related uniqueness problems are also considered.

APA, Harvard, Vancouver, ISO, and other styles

45

Liu, Riliang, and Haiguang Zhu. "On Helical Projection and Its Application in Screw Modeling." Advances in Mechanical Engineering 6 (January 1, 2014): 901047. http://dx.doi.org/10.1155/2014/901047.

Full text

Abstract:

As helical surfaces, in their many and varied forms, are finding more and more applications in engineering, new approaches to their efficient design and manufacture are desired. To that end, the helical projection method that uses curvilinear projection lines to map a space object to a plane is examined in this paper, focusing on its mathematical model and characteristics in terms of graphical representation of helical objects. A number of interesting projective properties are identified in regard to straight lines, curves, and planes, and then the method is further investigated with respect t

APA, Harvard, Vancouver, ISO, and other styles

46

Greuel, Gert-Martin, Christoph Lossen, and Eugenii Shustin. "Geometry of families of nodal curves on the blown-up projective plane." Transactions of the American Mathematical Society 350, no. 1 (1998): 251–74. http://dx.doi.org/10.1090/s0002-9947-98-02055-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

47

Bauer, Thomas, Sandra Di Rocco, Brian Harbourne, Jack Huizenga, Alexandra Seceleanu, and Tomasz Szemberg. "Negative Curves on Symmetric Blowups of the Projective Plane, Resurgences, and Waldschmidt Constants." International Mathematics Research Notices 2019, no. 24 (2018): 7459–514. http://dx.doi.org/10.1093/imrn/rnx329.

Full text

Abstract:

Abstract The Klein and Wiman configurations are highly symmetric configurations of lines in the projective plane arising from complex reflection groups. One noteworthy property of these configurations is that all the singularities of the configuration have multiplicity at least 3. In this paper we study the surface X obtained by blowing up $\mathbb{P}^{2}$ in the singular points of one of these line configurations. We study invariant curves on X in detail, with a particular emphasis on curves of negative self-intersection. We use the representation theory of the stabilizers of the singular poi

APA, Harvard, Vancouver, ISO, and other styles

48

Romakina, L. N. "K teorii ploscadej giperboliceskoj ploskosti polozitel'noj krivizny." Publications de l'Institut Math?matique (Belgrade) 99, no. 113 (2016): 139–54. http://dx.doi.org/10.2298/pim1613139r.

Full text

Abstract:

A hyperbolic plane ? of positive curvature is the projective model of the de Sitter plane. In article the ways of measurement of the figures areas of the plane ? are offered. The cyclic orthogonal coordinate systems are described. One family of coordinate curves in such systems form by concentric cycles (by hyperbolic cycles, elliptic cycles or oricycles). Other family of coordinate curves form by the axes of these cycles. The formulas for the calculation of the figures areas of the plane ? are received.

APA, Harvard, Vancouver, ISO, and other styles

49

Rousseau, Erwan. "Logarithmic Vector Fields and Hyperbolicity." Nagoya Mathematical Journal 195 (2009): 21–40. http://dx.doi.org/10.1017/s0027763000009685.

Full text

Abstract:

AbstractUsing vector fields on logarithmic jet spaces we obtain some new positive results for the logarithmic Kobayashi conjecture about the hyperbolicity of complements of curves in the complex projective plane. We are interested here in the cases where logarithmic irregularity is strictly smaller than the dimension. In this setting, we study the case of a very generic curve with two components of degrees d1 ≤ d2 and prove the hyperbolicity of the complement if the degrees satisfy either d1 ≥ 4, or d1 = 3 and d2 ≥ 5, or d1 = 2 and d2 ≥ 8, or d1 = 1 and d2 ≥ 11. We also prove that the compleme

APA, Harvard, Vancouver, ISO, and other styles

50

Pereira, Jorge V., and Percy F. Sánchez. "Automorphisms and non-integrability." Anais da Academia Brasileira de Ciências 77, no. 3 (2005): 379–85. http://dx.doi.org/10.1590/s0001-37652005000300001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!