Relevant bibliographies by topics / Classification of algebraic curves. eng

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  2. Dissertations / Theses
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Academic literature on the topic 'Classification of algebraic curves. eng'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

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Journal articles on the topic "Classification of algebraic curves. eng"

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Konopelchenko, B., L. Martínez Alonso, and E. Medina. "A classification of integrable quasiclassical deformations of algebraic curves." Journal of Physics A: Mathematical and General 39, no. 36 (2006): 11231–46. http://dx.doi.org/10.1088/0305-4470/39/36/008.

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Demina, Maria V., and Claudia Valls. "Classification of Invariant Algebraic Curves and Nonexistence of Algebraic Limit Cycles in Quadratic Systems from Family (I) of the Chinese Classification." International Journal of Bifurcation and Chaos 30, no. 04 (2020): 2050056. http://dx.doi.org/10.1142/s021812742050056x.

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We give the complete classification of irreducible invariant algebraic curves in quadratic systems from family [Formula: see text] of the Chinese classification, that is, of differential system [Formula: see text] with [Formula: see text]. In addition, we provide a complete and correct proof of the nonexistence of algebraic limit cycles for these equations.
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MONTALDO, S., and A. RATTO. "BIHARMONIC CURVES INTO QUADRICS." Glasgow Mathematical Journal 57, no. 1 (2014): 131–41. http://dx.doi.org/10.1017/s0017089514000172.

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AbstractWe develop an essentially algebraic method to study biharmonic curves into an implicit surface. Although our method is rather general, it is especially suitable to study curves in surfaces defined by a polynomial equation: In particular, we use it to give a complete classification of biharmonic curves in real quadrics of the three-dimensional Euclidean space.
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Demina, Maria V., and Claudia Valls. "On the Poincaré problem and Liouvillian integrability of quadratic Liénard differential equations." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 150, no. 6 (2020): 3231–51. http://dx.doi.org/10.1017/prm.2019.63.

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AbstractWe present the complete classification of irreducible invariant algebraic curves of quadratic Liénard differential equations. We prove that these equations have irreducible invariant algebraic curves of unbounded degrees, in contrast with what is wrongly claimed in the literature. In addition, we classify all the quadratic Liénard differential equations that admit a Liouvillian first integral.
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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.

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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
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Ge, Q. Jeffrey, and J. M. McCarthy. "The Algebraic Classification of the Image Curves of Spherical Four-Bar Motion." Journal of Mechanical Design 113, no. 3 (1991): 227–31. http://dx.doi.org/10.1115/1.2912773.

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A rotational displacement of the coupler of a spherical four-bar linkage can be mapped to a point with coordinates given by the Euler parameters of the rotation. The set of rotational movements available to the coupler defines a curve in this three-dimensional projective space (four homogeneous coordinates). In this paper, we determine the generalized eigenvalues and eigenvectors of the pencil of quadrics that pass through this curve and examine their properties. The result is an algebraic classification of the image curves that parallels the well-known classification of spherical four-linkage
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Degtyarev, A. I., and V. I. Zvonilov. "Rigid isotopy classification of real algebraic curves of bidegree (3,3) on quadrics." Mathematical Notes 66, no. 6 (1999): 670–74. http://dx.doi.org/10.1007/bf02674324.

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Mikhalkin, Grigory, and Stepan Orevkov. "Real algebraic knots and links of small degree." Journal of Knot Theory and Its Ramifications 25, no. 12 (2016): 1642010. http://dx.doi.org/10.1142/s0218216516420104.

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The paper gives a topological as well as rigid isotopy classification of smooth irreducible algebraic curves in the real projective 3-space for the case when the degree of the curve is at most six and its genus is at most one.
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Zhitomirskii, M. "Relative Darboux Theorem for Singular Manifolds and Local Contact Algebra." Canadian Journal of Mathematics 57, no. 6 (2005): 1314–40. http://dx.doi.org/10.4153/cjm-2005-053-9.

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AbstractIn 1999 V. Arnol’d introduced the local contact algebra: studying the problem of classification of singular curves in a contact space, he showed the existence of the ghost of the contact structure (invariants which are not related to the induced structure on the curve). Our main result implies that the only reason for existence of the local contact algebra and the ghost is the difference between the geometric and (defined in this paper) algebraic restriction of a 1-form to a singular submanifold. We prove that a germ of any subset N of a contact manifold is well defined, up to contacto
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FLORENS, V. "SIGNATURES OF COLORED LINKS WITH APPLICATION TO REAL ALGEBRAIC CURVES." Journal of Knot Theory and Its Ramifications 14, no. 07 (2005): 883–918. http://dx.doi.org/10.1142/s0218216505004093.

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We construct the signature of a μ-colored oriented link, as a locally constant integer valued function with domain (S1 - {1})μ. It restricts to the Tristram–Levine's signature on the diagonal and the discontinuities can occur only at the zeros of the colored Alexander polynomial. Moreover, the signature and the related nullity verify the Murasugi–Tristram inequality. This gives a new necessary condition for a link to bound a smoothly and properly embedded surface in B4, with given Betti numbers. As an application, we achieve the classification of the complex orientations of maximal plane non-s
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Dissertations / Theses on the topic "Classification of algebraic curves. eng"

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Arruda, Rafael Lucas de. "Teorema de Riemann-Roch e aplicações /." São José do Rio Preto : [s.n.], 2011. http://hdl.handle.net/11449/86493.

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Orientador: Parham Salehyan<br>Banca: Eduardo de Sequeira Esteves<br>Banca: Jéfferson Luiz Rocha Bastos<br>Resumo: O objetivo principal deste trabalho é estudar o Teorema de Riemann-Roch, um dos resultados fundamentais na teoria de curvas algébricas, e apresentar algumas de suas aplicações. Este teorema é uma importante ferramenta para a classificação das curvas algébricas, pois relaciona propriedades algébricas e topológicas. Daremos uma descrição das curvas algébricas de gênero g, 1≤ g ≤ 5, e faremos um breve estudo dos pontos de inflexão de um sistema linear sobre uma curva algébrica<br>Abs
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Manzaroli, Matilde. "Real algebraic curves in real del Pezzo surfaces." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX017/document.

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L’étude topologique des variétés algébriques réelles remonte au moins aux travaux de Harnack, Klein, et Hilbert au 19éme siecle; en particulier, la classification des types d’isotopie réalisés par les courbes algébriques réelles d’un degré fixé dans RP2 est un sujet qui a connu un essor considérable jusqu'à aujourd'hui. En revanche, en dehors des études concernants les surfaces de Hirzebruch et les surfaces de degré au plus 3 dans RP3, à peu près rien n’est connu dans le cas de surfaces ambiantes plus générales. Cela est du en particulier au fait que les variétés construites en utilisant le "p
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Jaramillo, Puentes Andrés. "Rigid isotopy classification of real quintic rational plane curves." Thesis, Paris 6, 2017. http://www.theses.fr/2017PA066116/document.

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Afin d’étudier les classes d'isotopie rigide des courbes rationnelles nodales de degré 5 dans RPP, nous associons à chaque quintique avec un point double réel marque une courbe trigonale dans la surface de Hirzebruch Sigma3 et le dessin reel nodal correspondant dans CP/(z mapsto bar{z}). Les dessins sont des versions réelles, proposées par S. Orevkov dans cite{Orevkov}, des dessins d'enfants de Grothendieck. Un dessin est un graphe contenu dans une surface topologique, muni d'une certaine structure supplémentaire. Dans cette thèse, nous étudions les propriétés combinatoires et les recompositio
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Bruns, Gregor. "Divisors on moduli spaces of level curves." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät, 2017. http://dx.doi.org/10.18452/17674.

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In dieser Arbeit untersuchen wir drei Fragestellungen. Zwei beschäftigen sich mit Divisoren auf Modulräumen von Kurven mit Levelstruktur, die dritte handelt von Stabilitätseigenschaften der Normalenbündel von kanonischen Kurven. Die erste Frage, die in Kapitel 2 studiert wird, beschäftigt sich mit der Kodairadimension des Modulraums R15,2 von Prym-Varietäten vom Geschlecht 15. Wir studieren einen neuen Divisor auf diesem Modulraum und berechnen seine Klasse in der Standardbasis der Picardgruppe. Mit Hilfe dieser Klasse können wir schlussfolgern, dass R15,2 von allgemeinem Typ ist. In Kap
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Arruda, Rafael Lucas de [UNESP]. "Teorema de Riemann-Roch e aplicações." Universidade Estadual Paulista (UNESP), 2011. http://hdl.handle.net/11449/86493.

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Made available in DSpace on 2014-06-11T19:22:18Z (GMT). No. of bitstreams: 0 Previous issue date: 2011-02-25Bitstream added on 2014-06-13T20:28:17Z : No. of bitstreams: 1 arruda_rl_me_sjrp.pdf: 624072 bytes, checksum: 23ddd00e27d1ad781e2d1cec2cb65dee (MD5)<br>Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)<br>O objetivo principal deste trabalho é estudar o Teorema de Riemann-Roch, um dos resultados fundamentais na teoria de curvas algébricas, e apresentar algumas de suas aplicações. Este teorema é uma importante ferramenta para a classificação das curvas algébricas, pois relaci
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Pena, Caio Augusto de Carvalho. "Estudo global de sistemas polinomiais planares no disco de Poincaré." Universidade de São Paulo, 2015. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-04042016-102036/.

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Dado um sistema diferencial no plano, muito se questiona sobre o comportamento de suas soluções. Nas vizinhanças dos pontos singulares existem ferramentas que nos indicam o tipo e a estabilidade estrutural de cada um deles; são as chamadas formas normais. No entanto, o interesse vai mais além do conhecimento local das soluções em cada singularidade. Nesse trabalho apresentamos algumas ferramentas clássicas da teoria qualitativa das equações diferenciais ordinárias empregadas na investigação global dos campos de vetores polinomiais planares e as empregamos na investigação de duas famílias pa
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Sayyary, Namin Mahsa. "Real Algebraic Geometry of the Sextic Curves." 2020. https://ul.qucosa.de/id/qucosa%3A74147.

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The major part of this thesis revolves around the real algebraic geometry of curves, especially curves of degree six. We use the topological and rigid isotopy classifications of plane sextics to explore the reality of several features associated to each class, such as the bitangents, inflection points, and tensor eigenvectors. We also study the real tensor rank of plane sextics, the construction of quartic surfaces with prescribed topology, and the avoidance locus, which is the locus of all real lines that do not meet a given plane curve. In the case of space sextics, a classical construction
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Chien, Jing-jung, and 錢映蓉. "Classification and Hilbert Series of Irreducible Algebraic Curves of Degree Four with Three Double Points." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/20451791474744322273.

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碩士<br>國立中正大學<br>數學所<br>98<br>We try to classify irreducible projective curves of degree three and irreducible projective curves of degree four with three double points. Then we observe that there exist representatives of these curves. Then we find some Hilbert-Samuel functions and Hilbert series by these representatives.
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Kochinke, Sebastian. "Special Linear Systems on Curves and Algorithmic Applications." Doctoral thesis, 2016. https://ul.qucosa.de/id/qucosa%3A15364.

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Seit W. Diffie und M. Hellman im Jahr 1976 ihren Ansatz für einen sicheren kryptographischen Schlüsselaustausch vorgestellten, ist der sogenannte Diskrete Logarithmus zu einem zentrales Thema der Kryptoanalyse geworden. Dieser stellt eine Erweiterung des bekannten Logarithmus auf beliebige endliche Gruppen dar. In der vorliegenden Dissertation werden zwei von C. Diem eingeführte Algorithmen untersucht, mit deren Hilfe der diskrete Logarithmus in der Picardgruppe glatter, nichthyperelliptischer Kurven vom Geschlecht g > 3 bzw. g > 4 über endlichen Körpern berechnet werden kann. Beide Ansätze
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Books on the topic "Classification of algebraic curves. eng"

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Deschamps, Mireille. Sur la classification des courbes gauches. Société mathématique de France, 1990.

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Martin-Deschamps, Mireille. Sur la classification des courbes gauches. Société mathématique de France, 1990.

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Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View toward Coherent Sheaves (2006 Cambridge, Mass.). Grassmannians, moduli spaces, and vector bundles: Clay Mathematics Institute Workshop on Moduli Spaces of Vector Bundles, with a View towards Coherent Sheaves, October 6-11, 2006, Cambridge, Massachusetts. Edited by Ellwood D. (David) 1966- and Previato Emma. American Mathematical Society, 2011.

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Compact moduli spaces and vector bundles: Conference on compact moduli and vector bundles, October 21-24, 2010, University of Georgia, Athens, Georgia. American Mathematical Society, 2012.

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1955-, Ballico E., Catanese F, and Ciliberto C. 1950-, eds. Classification of irregular varieties: Minimal models and Abelian varieties : proceedings of a conference held in Trento, Italy, 17-21 December, 1990. Springer-Verlag, 1992.

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Ballico, E., and Fabrizio Catanese. Classification of Irregular Varieties: Minimal Models and Abelian Varieties : Proceedings of a Conference Held in Trento, Italy, 17021 December, 1990 (Lecture Notes in Mathematics). Springer, 1992.

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Splitting Deformations of Degenerations of Complex Curves: Towards the Classification of Atoms of Degenerations, III (Lecture Notes in Mathematics). Springer, 2006.

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Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices Ams Special Session Algebraic And Geometric Aspects Of Integrable Systems And Random Matrices January 67 2012 Boston Ma. American Mathematical Society, 2013.

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A Celebration of Algebraic Geometry (Clay Mathematics Proceedings). American Mathematical Society, 2013.

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Tretkoff, Paula. Algebraic Surfaces and the Miyaoka-Yau Inequality. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691144771.003.0005.

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This chapter discusses complex algebraic surfaces, with particular emphasis on the Miyaoka-Yau inequality and the rough classification of surfaces. Every complex algebraic surface is birationally equivalent to a smooth surface containing no exceptional curves. The latter is known as a minimal surface. Two related birational invariants, the plurigenus and the Kodaira dimension, play an important role in distinguishing between complex surfaces. The chapter first provides an overview of the rough classification of (smooth complex connected compact algebraic) surfaces before presenting two approac
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Book chapters on the topic "Classification of algebraic curves. eng"

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Hartshorne, Robin. "Classification of Algebraic Space Curves, III." In Algebraic Geometry and its Applications. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4612-2628-4_5.

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Euler, Leonard. "On the Classification of Algebraic Curves by Orders." In Introduction to Analysis of the Infinite. Springer New York, 1990. http://dx.doi.org/10.1007/978-1-4612-1001-6_3.

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"Rational curves and classification of algebraic varieties." In Mirror Symmetry I. American Mathematical Society, 1998. http://dx.doi.org/10.1090/amsip/009/05.

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"Classification of the pencils of cubics." In Pencils of Cubics and Algebraic Curves in the Real Projective Plane. Chapman and Hall/CRC, 2018. http://dx.doi.org/10.1201/9780429451959-21.

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