Log in

Relevant bibliographies by topics / Sextic Curves / Journal articles

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

Journal articles on the topic 'Sextic Curves'

Author: Grafiati

Published: 4 June 2021

Last updated: 4 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 'Sextic 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

Yang, Jin-Gen. "Sextic curves with simple singularities." Tohoku Mathematical Journal 48, no. 2 (1996): 203–27. http://dx.doi.org/10.2748/tmj/1178225377.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Dye, R. H. "Space sextic curves with six bitangents, and some geometry of the diagonal cubic surface." Proceedings of the Edinburgh Mathematical Society 40, no. 1 (1997): 85–97. http://dx.doi.org/10.1017/s0013091500023452.

Full text

Abstract:

A general space curve has only a finite number of quadrisecants, and it is rare for these to be bitangents. We show that there are irreducible rational space sextics whose six quadrisecants are all bitangents. All such sextics are projectively equivalent, and they lie by pairs on diagonal cubic surfaces. The bitangents of such a related pair are the halves of the distinguished double-six of the diagonal cubic surface. No space sextic curve has more than six bitangents, and the only other types with six bitangents are certain (4,2) curves on quadrics. In the course of the argument we see that s

APA, Harvard, Vancouver, ISO, and other styles

3

Weinberg, David A., and Nicholas J. Willis. "Singular Points of Reducible Sextic Curves." ISRN Geometry 2012 (December 11, 2012): 1–17. http://dx.doi.org/10.5402/2012/680247.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Saleem, Mohammed A. "On classifications of rational sextic curves." Journal of the Egyptian Mathematical Society 24, no. 4 (2016): 508–14. http://dx.doi.org/10.1016/j.joems.2015.05.001.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Shimada, Ichiro. "Lattice Zariski k-ples of plane sextic curves and Z-splitting curves for double plane sextics." Michigan Mathematical Journal 59, no. 3 (2010): 621–65. http://dx.doi.org/10.1307/mmj/1291213959.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Wu, Bo, and Jin-Gen Yang. "Some new Zariski pairs of sextic curves." Tohoku Mathematical Journal 64, no. 3 (2012): 409–26. http://dx.doi.org/10.2748/tmj/1347369370.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Weinberg, David A., and Nicholas J. Willis. "Singular Points of Real Sextic Curves I." Acta Applicandae Mathematicae 110, no. 2 (2009): 805–62. http://dx.doi.org/10.1007/s10440-009-9477-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Naseer, Salma, Muhammad Abbas, Homan Emadifar, Samia Bi Bi, Tahir Nazir, and Zaheer Hussain Shah. "A Class of Sextic Trigonometric Bézier Curve with Two Shape Parameters." Journal of Mathematics 2021 (June 26, 2021): 1–16. http://dx.doi.org/10.1155/2021/9989810.

Full text

Abstract:

In this paper, we present a new class of sextic trigonometric Bernstein (ST-Bernstein, for short) basis functions with two shape parameters along with their geometric properties which are similar to the classical Bernstein basis functions. A sextic trigonometric Bézier (ST-Bézier, for short) curve with two shape parameters and their geometric characteristics is also constructed. The continuity constraints for the connection of two adjacent ST-Bézier curves segments are discussed. Shape control parameters can provide an opportunity to modify the shape of curve as designer desired. Some open and

APA, Harvard, Vancouver, ISO, and other styles

9

van Geemen, Bert, and Yan Zhao. "Genus three curves and 56 nodal sextic surfaces." Journal of Algebraic Geometry 27, no. 4 (2018): 583–92. http://dx.doi.org/10.1090/jag/694.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Yang, Jin-Gen, and Jinjing Xie. "Discrminantal groups and Zariski pairs of sextic curves." Geometriae Dedicata 158, no. 1 (2011): 235–59. http://dx.doi.org/10.1007/s10711-011-9630-z.

Full text

APA, Harvard, Vancouver, ISO, and other styles

11

Konno, Kazuhiro, and Ezio Stagnaro. "Sextic curves with six double points on a conic." Methods and Applications of Analysis 24, no. 2 (2017): 295–302. http://dx.doi.org/10.4310/maa.2017.v24.n2.a6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

12

Gužvić, Tomislav. "Torsion growth of rational elliptic curves in sextic number fields." Journal of Number Theory 220 (March 2021): 330–45. http://dx.doi.org/10.1016/j.jnt.2020.09.010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

13

Maican, Mario. "The classification of semistable plane sheaves supported on sextic curves." Kyoto Journal of Mathematics 53, no. 4 (2013): 739–86. http://dx.doi.org/10.1215/21562261-2366086.

Full text

APA, Harvard, Vancouver, ISO, and other styles

14

Fukuoka, Takeru. "Relative linear extensions of sextic del Pezzo fibrations over curves." ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA - CLASSE DI SCIENZE 21, no. 2 (2020): 1371–409. http://dx.doi.org/10.2422/2036-2145.201809_011.

Full text

APA, Harvard, Vancouver, ISO, and other styles

15

Daniels, Harris B., and Enrique González-Jiménez. "On the torsion of rational elliptic curves over sextic fields." Mathematics of Computation 89, no. 321 (2019): 411–35. http://dx.doi.org/10.1090/mcom/3440.

Full text

APA, Harvard, Vancouver, ISO, and other styles

16

Weidner, Matthew. "On conjectural rank parities of quartic and sextic twists of elliptic curves." International Journal of Number Theory 15, no. 09 (2019): 1895–918. http://dx.doi.org/10.1142/s1793042119501057.

Full text

Abstract:

We study the behavior under twisting of the Selmer rank parities of a self-dual prime-degree isogeny on a principally polarized abelian variety defined over a number field, subject to compatibility relations between the twists and the isogeny. In particular, we study isogenies on abelian varieties whose Selmer rank parities are related to the rank parities of elliptic curves with [Formula: see text]-invariant 0 or 1728, assuming the Shafarevich–Tate conjecture. Using these results, we show how to classify the conjectural rank parities of all quartic or sextic twists of an elliptic curve define

APA, Harvard, Vancouver, ISO, and other styles

17

Derickx, Maarten, and Andrew V. Sutherland. "Torsion subgroups of elliptic curves over quintic and sextic number fields." Proceedings of the American Mathematical Society 145, no. 10 (2017): 4233–45. http://dx.doi.org/10.1090/proc/13605.

Full text

APA, Harvard, Vancouver, ISO, and other styles

18

Oliveira, José Alves. "Rational points on cubic, quartic and sextic curves over finite fields." Journal of Number Theory 224 (July 2021): 191–216. http://dx.doi.org/10.1016/j.jnt.2021.01.018.

Full text

APA, Harvard, Vancouver, ISO, and other styles

19

DEGTYAREV, ALEXANDER. "ALEXANDER POLYNOMIAL OF A CURVE OF DEGREE SIX." Journal of Knot Theory and Its Ramifications 03, no. 04 (1994): 439–54. http://dx.doi.org/10.1142/s0218216594000320.

Full text

Abstract:

The complete description of the Alexander polynomial of the complement of an irreducible sextic in [Formula: see text] is given. Some general results about Alexander polynomials of algebraic curves are also obtained.

APA, Harvard, Vancouver, ISO, and other styles

20

Balakrishnan, Jennifer S., Sorina Ionica, Kristin Lauter, and Christelle Vincent. "Constructing genus-3 hyperelliptic Jacobians with CM." LMS Journal of Computation and Mathematics 19, A (2016): 283–300. http://dx.doi.org/10.1112/s1461157016000322.

Full text

Abstract:

Given a sextic CM field $K$, we give an explicit method for finding all genus-$3$ hyperelliptic curves defined over $\mathbb{C}$ whose Jacobians are simple and have complex multiplication by the maximal order of this field, via an approximation of their Rosenhain invariants. Building on the work of Weng [J. Ramanujan Math. Soc. 16 (2001) no. 4, 339–372], we give an algorithm which works in complete generality, for any CM sextic field $K$, and computes minimal polynomials of the Rosenhain invariants for any period matrix of the Jacobian. This algorithm can be used to generate genus-3 hyperellip

APA, Harvard, Vancouver, ISO, and other styles

21

Blechschmidt, J. L., and J. J. Uicker. "Linkage Synthesis Using Algebraic Curves." Journal of Mechanisms, Transmissions, and Automation in Design 108, no. 4 (1986): 543–48. http://dx.doi.org/10.1115/1.3258767.

Full text

Abstract:

A method to snythesize four-bar linkages using the algebraic curve of the motion of the coupler point on the coupler link of the four-bar linkage is developed. This method is a departure from modern synthesis methods, most of which are based upon Burmester theory. This curve, which is a planar algebraic polynomial in two variables for the four-bar linkage, is a trinodal tricircular sextic (sixth order). These properties are used to determine the coefficients of the curve given a set of points that the coupler point of the coupler link is to pass through. The coefficients of this curve are nonl

APA, Harvard, Vancouver, ISO, and other styles

22

ULAS, MACIEJ. "VARIATIONS ON HIGHER TWISTS OF PAIRS OF ELLIPTIC CURVES." International Journal of Number Theory 06, no. 05 (2010): 1183–89. http://dx.doi.org/10.1142/s1793042110003472.

Full text

Abstract:

In this note we show that for any pair of elliptic curves E1, E2 over ℚ with j-invariant equal to 0, we can find a polynomial D ∈ ℤ[u, v, w, t] such that the sextic twists of the curves E1, E2 by D(u, v, w, t) have rank ≥ 2 over the field ℚ(u, v, w, t). A similar result is proved for simultaneous quartic twists of pairs of elliptic curves with j-invariant 1728.

APA, Harvard, Vancouver, ISO, and other styles

23

Orevkov, Stepan. "Parametric equations of plane sextic curves with a maximal set of double points." Journal of Algebra and Its Applications 14, no. 09 (2015): 1540013. http://dx.doi.org/10.1142/s0219498815400137.

Full text

Abstract:

We give explicit parametric equations for all irreducible plane projective sextic curves which have at most double points and whose total Milnor number is maximal (is equal to 19). In each case we find a parametrization over a number field of the minimal possible degree and try to choose coordinates so that the coefficients are as small as we can do.

APA, Harvard, Vancouver, ISO, and other styles

24

CHIANTINI, LUCA, and CARLO MADONNA. "A SPLITTING CRITERION FOR RANK 2 BUNDLES ON A GENERAL SEXTIC THREEFOLD." International Journal of Mathematics 15, no. 04 (2004): 341–59. http://dx.doi.org/10.1142/s0129167x04002302.

Full text

Abstract:

In this paper we show that on a general sextic hypersurface X⊂ℙ4, a rank 2 vector bundle ℰ splits if and only if h1(ℰ(n))=0 for any n∈ℤ. We get thus a characterization of complete intersection curves in X.

APA, Harvard, Vancouver, ISO, and other styles

25

ULAS, MACIEJ. "A NOTE ON HIGHER TWISTS OF ELLIPTIC CURVES." Glasgow Mathematical Journal 52, no. 2 (2010): 371–81. http://dx.doi.org/10.1017/s0017089510000066.

Full text

Abstract:

AbstractWe show that for any pair of elliptic curves E1, E2 over ℚ with j-invariant equal to 0, we can find a polynomial D ∈ ℤ[u, v] such that the cubic twists of the curves E1, E2 by D(u, v) have positive rank over ℚ(u, v). We also prove that for any quadruple of pairwise distinct elliptic curves Ei, i = 1, 2, 3, 4, with j-invariant j = 0, there exists a polynomial D ∈ ℤ[u] such that the sextic twists of Ei, i = 1, 2, 3, 4, by D(u) have positive rank. A similar result is proved for quadruplets of elliptic curves with j-invariant j = 1, 728.

APA, Harvard, Vancouver, ISO, and other styles

26

CHO, KYUNG-HYE, CHANGHO KEEM, and AKIRA OHBUCHI. "ON THE VARIETY OF SPECIAL LINEAR SYSTEMS OF DEGREE g-1 ON SMOOTH ALGEBRAIC CURVES." International Journal of Mathematics 13, no. 01 (2002): 11–29. http://dx.doi.org/10.1142/s0129167x02001204.

Full text

Abstract:

We classify smooth projective algebraic curves C of genus g such that the variety of special linear systems [Formula: see text] has dimension g- 7. We first prove that if [Formula: see text] has dimension g-7≥0 then C is either trigonal, tetragonal, a double covering of a curve of genus 2 or a smooth plane sextic. This result establishes the next extension of dimension theorems of H. Martens and D. Mumford on the variety of special linear systems with the fullest possible generality. We then proceed to show that, under the assumption g≥11, [Formula: see text] has dimension g- 7 if and only if

APA, Harvard, Vancouver, ISO, and other styles

27

Zamora, Alexis G. "Some Remarks on the Wiman–Edge Pencil." Proceedings of the Edinburgh Mathematical Society 61, no. 2 (2018): 401–12. http://dx.doi.org/10.1017/s0013091517000232.

Full text

Abstract:

AbstractWe rewrite in modern language a classical construction by W. E. Edge showing a pencil of sextic nodal curves admitting A5 as its group of automorphism. Next, we discuss some other aspects of this pencil, such as the associated fibration and its connection to the singularities of the moduli of six-dimensional abelian varieties.

APA, Harvard, Vancouver, ISO, and other styles

28

Ding, Jingguo, Yanghaochen He, Mengxue Song, Zhijie Jiao, and Wen Peng. "Roll crown control capacity of sextic CVC work roll curves in plate rolling process." International Journal of Advanced Manufacturing Technology 113, no. 1-2 (2021): 87–97. http://dx.doi.org/10.1007/s00170-020-06536-8.

Full text

APA, Harvard, Vancouver, ISO, and other styles

29

Ji, Xiaogang, Jie Xue, Yan Yang, and Xueming He. "Inverse-Problem-Based Accuracy Control for Arbitrary-Resolution Fairing of Quasiuniform Cubic B-Spline Curves." Mathematical Problems in Engineering 2014 (2014): 1–12. http://dx.doi.org/10.1155/2014/912024.

Full text

Abstract:

In the process of curves and surfaces fairing with multiresolution analysis, fairing accuracy will be determined by final fairing scale. On the basis of Dyadic wavelet fairing algorithm (DWFA), arbitrary resolution wavelet fairing algorithm (ARWFA), and corresponding software, accuracy control of multiresolution fairing was studied for the uncertainty of fairing scale. Firstly, using the idea of inverse problem for reference, linear hypothesis was adopted to predict the corresponding wavelet scale for any given fairing error. Although linear hypothesis has error, it can be eliminated by multip

APA, Harvard, Vancouver, ISO, and other styles

30

Urabe, Tohsuke. "Combinations of rational singularities on plane sextic curves with the sum of Milnor numbers less than sixteen." Banach Center Publications 20, no. 1 (1988): 429–56. http://dx.doi.org/10.4064/-20-1-429-456.

Full text

APA, Harvard, Vancouver, ISO, and other styles

31

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

32

WANG, GuoZhao, and LinCong FANG. "<italic>C</italic><sup>1</sup> Hermite interpolation using sextic PH curves." SCIENTIA SINICA Mathematica 44, no. 7 (2014): 799–804. http://dx.doi.org/10.1360/n012013-00124.

Full text

APA, Harvard, Vancouver, ISO, and other styles

33

Edge, W. L. "A plane sextic and its five cusps." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 118, no. 3-4 (1991): 209–23. http://dx.doi.org/10.1017/s030821050002905x.

Full text

Abstract:

SynopsisA certain plane sextic of genus 5 was encountered by Humbert and publicised by him [3] in 1894. Its striking geometrical properties clamour for elucidation; this was eventually supplied in 1951. For the canonical curve of genus 5 is the base curve C of a net N of quadrics in projective space [4], and C models a Humbert curve when all the quadrics of N have a common self-polar simplex [1]. The projection of C from one of its chords onto a plane is a 5-nodal sextic, the nodes all becoming cusps when the chord of C becomes a tangent. The properties to be elucidated become clear visually i

APA, Harvard, Vancouver, ISO, and other styles

34

OKA, Mutsuo. "Elliptic curves from sextics." Journal of the Mathematical Society of Japan 54, no. 2 (2002): 349–71. http://dx.doi.org/10.2969/jmsj/05420349.

Full text

APA, Harvard, Vancouver, ISO, and other styles

35

Dye, R. H. "The Plane Sextic Curve Fixed by A6." Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 68, no. 1 (1998): 17–24. http://dx.doi.org/10.1007/bf02942548.

Full text

APA, Harvard, Vancouver, ISO, and other styles

36

Kato, Fumiharu. "Mumford curves in a specialized pencil of sextics." manuscripta mathematica 104, no. 4 (2001): 451–58. http://dx.doi.org/10.1007/s002290170019.

Full text

APA, Harvard, Vancouver, ISO, and other styles

37

BREMNER, ANDREW, and BLAIR K. SPEARMAN. "CYCLIC SEXTIC TRINOMIALS x6 + Ax + B." International Journal of Number Theory 06, no. 01 (2010): 161–67. http://dx.doi.org/10.1142/s1793042110002843.

Full text

Abstract:

A correspondence is obtained between irreducible cyclic sextic trinomials x6 + Ax + B ∈ ℚ[x] and rational points on a genus two curve. This implies that up to scaling, x6 + 133x + 209 is the only cyclic sextic trinomial of the given type.

APA, Harvard, Vancouver, ISO, and other styles

38

R.SamEmmanuel, W. "Performance Evaluation of Sextic Curve Cryptography and Probability Symmetric Curve Cryptography in Wireless Sensor Networks." International Journal of Computer Applications 61, no. 4 (2013): 23–27. http://dx.doi.org/10.5120/9915-4514.

Full text

APA, Harvard, Vancouver, ISO, and other styles

39

LUO, Guihuo. "Design of Sextic Turning Curve of Grooved Drum of Glass Fiber Winders." Journal of Mechanical Engineering 46, no. 19 (2010): 165. http://dx.doi.org/10.3901/jme.2010.19.165.

Full text

APA, Harvard, Vancouver, ISO, and other styles

40

NGUYEN, QUANG MINH. "VECTOR BUNDLES, DUALITIES AND CLASSICAL GEOMETRY ON A CURVE OF GENUS TWO." International Journal of Mathematics 18, no. 05 (2007): 535–58. http://dx.doi.org/10.1142/s0129167x07004230.

Full text

Abstract:

Let C be a curve of genus two. We denote by [Formula: see text] the moduli space of semi-stable vector bundles of rank 3 and trivial determinant over C, and by Jd the variety of line bundles of degree d on C. In particular, J1 has a canonical theta divisor Θ. The space [Formula: see text] is a double cover of ℙ8 = |3Θ| branched along a sextic hypersurface, the Coble sextic. In the dual [Formula: see text], where J1 is embedded, there is a unique cubic hypersurface singular along J1, the Coble cubic. We prove that these two hypersurfaces are dual, inducing a non-abelian Torelli result. Moreover

APA, Harvard, Vancouver, ISO, and other styles

41

Dye, R. H. "A Plane Sextic Curve of Genus 4 with A 5 for Collineation Group." Journal of the London Mathematical Society 52, no. 1 (1995): 97–110. http://dx.doi.org/10.1112/jlms/52.1.97.

Full text

APA, Harvard, Vancouver, ISO, and other styles

42

BROWN, STEPHEN C., BLAIR K. SPEARMAN, and QIDUAN YANG. "ON SEXTIC TRINOMIALS WITH GALOIS GROUP C6, S3 OR C3 × S3." Journal of Algebra and Its Applications 12, no. 01 (2012): 1250128. http://dx.doi.org/10.1142/s0219498812501289.

Full text

Abstract:

We characterize irreducible trinomials x6 + Ax + B with coefficients in a number field K which have Galois group C6, S3 or C3 × S3. This characterization relates these trinomials to the K-rational points on a genus 2 curve. We determine these trinomials explicitly in the case K = ℚ.

APA, Harvard, Vancouver, ISO, and other styles

43

Partridge, Harry, Charles W. Bauschlicher, and James R. Stallcop. "N2+ bound quartet and sextet state potential energy curves." Journal of Quantitative Spectroscopy and Radiative Transfer 33, no. 6 (1985): 653–55. http://dx.doi.org/10.1016/0022-4073(85)90033-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

44

ARTAL, E., J. CARMONA, J. I. COGOLLUDO, and HIRO-O. TOKUNAGA. "SEXTICS WITH SINGULAR POINTS IN SPECIAL POSITION." Journal of Knot Theory and Its Ramifications 10, no. 04 (2001): 547–78. http://dx.doi.org/10.1142/s0218216501001001.

Full text

Abstract:

In this paper we show a Zariski pair of sextics which is not a degeneration of the original example given by Zariski. This is the first example of this kind known. The two curves of the pair have a trivial Alexander polynomial. The difference in the topology of their complements can only be detected via finer invariants or techniques. In our case the generic braid monodromies, the fundamental groups, the characteristic varieties and the existence of dihedral coverings of ℙ2 ramified along them can be used to distinguish the two sextics. Our intention is not only to use different methods and gi

APA, Harvard, Vancouver, ISO, and other styles

45

Bannai, Shinzo, and Taketo Shirane. "Nodal curves with a contact-conic and Zariski pairs." Advances in Geometry 19, no. 4 (2019): 555–72. http://dx.doi.org/10.1515/advgeom-2018-0032.

Full text

Abstract:

Abstract To study the splitting of nodal plane curves with respect to contact conics, we define the splitting type of such curves and show that it can be used as an invariant to distinguish the embedded topology of plane curves. We also give a criterion to determine the splitting type in terms of the configuration of the nodes and tangent points. As an application, we construct sextics and contact conics with prescribed splitting types, which give rise to new Zariski-triples.

APA, Harvard, Vancouver, ISO, and other styles

46

Degtyarev, Alex. "On the Artal–Carmona–Cogolludo construction." Journal of Knot Theory and Its Ramifications 23, no. 05 (2014): 1450028. http://dx.doi.org/10.1142/s021821651450028x.

Full text

Abstract:

We derive explicit defining equations for a number of irreducible maximizing plane sextics with double singular points only. For most real curves, we also compute the fundamental group of the complement; all groups found are abelian, which suffices to complete the computation of the groups of all non-maximizing irreducible sextics. As a by-product, examples of Zariski pairs in the strongest possible sense are constructed.

APA, Harvard, Vancouver, ISO, and other styles

47

Hong, Xiaochun, Shaolong Xie, and Longwei Chen. "Estimating the Number of Zeros for Abelian Integrals of Quadratic Reversible Centers with Orbits Formed by Higher-Order Curves." International Journal of Bifurcation and Chaos 26, no. 02 (2016): 1650020. http://dx.doi.org/10.1142/s0218127416500206.

Full text

Abstract:

In this study, we determine the associated number of zeros for Abelian integrals in four classes of quadratic reversible centers of genus one. Based on the results of [Li et al., 2002b],, we prove that the upper bounds of the associated number of zeros for Abelian integrals with orbits formed by conics, cubics, quartics, and sextics, under polynomial perturbations of arbitrary degree [Formula: see text], depend linearly on [Formula: see text].

APA, Harvard, Vancouver, ISO, and other styles

48

Choudhry, Ajai. "A new method of solving certain quartic and higher degree diophantine equations." International Journal of Number Theory 14, no. 08 (2018): 2129–54. http://dx.doi.org/10.1142/s1793042118501282.

Full text

Abstract:

In this paper, we present a new method of solving certain quartic and higher degree homogeneous polynomial diophantine equations in four variables. The method can also be applied to some diophantine systems in five or more variables. Under certain conditions, the method yields an arbitrarily large number of integer solutions of such diophantine equations and diophantine systems, two examples being a sextic equation in four variables and two simultaneous equations of degrees four and six in six variables. We also simultaneously obtain arbitrarily many rational solutions of certain related nonho

APA, Harvard, Vancouver, ISO, and other styles

49

Laza, Radu, and Kieran O’Grady. "Birational geometry of the moduli space of quartic surfaces." Compositio Mathematica 155, no. 9 (2019): 1655–710. http://dx.doi.org/10.1112/s0010437x19007516.

Full text

Abstract:

By work of Looijenga and others, one understands the relationship between Geometric Invariant Theory (GIT) and Baily–Borel compactifications for the moduli spaces of degree-$2$ $K3$ surfaces, cubic fourfolds, and a few other related examples. The similar-looking cases of degree-$4$ $K3$ surfaces and double Eisenbud–Popescu–Walter (EPW) sextics turn out to be much more complicated for arithmetic reasons. In this paper, we refine work of Looijenga in order to handle these cases. Specifically, in analogy with the so-called Hassett–Keel program for the moduli space of curves, we study the variatio

APA, Harvard, Vancouver, ISO, and other styles

50

Bennett, Ruth R., Richard H. White, and Jeffery Meadows. "Regional specialization in the eye of the sphingid moth Manduca sexta: Blue sensitivity of the ventral retina." Visual Neuroscience 14, no. 3 (1997): 523–26. http://dx.doi.org/10.1017/s0952523800012177.

Full text

Abstract:

AbstractThe compound eye of the tobacco hornworm moth Manduca sexta contains green-, blue-, and ultraviolet-sensitive photoreceptors. Electroretinogram spectral-sensitivity measurements were recorded from different regions of the retina in order to broadly map the distribution of the three receptor types. The relative contribution of the three receptors to spectral-sensitivity curves was estimated by fitting theoretical curves based on the absorption spectra of the three rhodopsins. This analysis indicated that the dorsal retina is green and ultraviolet dichromatic, with green-sensitive cells

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!