Results 21 to 30 of about 275,582 (319)
Algebraic relations among Goss’s zeta values on elliptic curves
Forum of Mathematics, Sigma, 2023 In 2007 Chang and Yu determined all the algebraic relations among Goss’s zeta values for $A=\mathbb F_q[\theta ]$ , also known as the Carlitz zeta values.
Nathan Green, Tuan Ngo Dac
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Integrable Deformations of Algebraic Curves [PDF]
Theoretical and Mathematical Physics, 2005 A general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations, is presented. We emphasize the use of several types of dynamical variables : branches, power sums and potentials.
Y. KODAMA +2 more
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An Algorithm for Isolating the Real Solutions of Piecewise Algebraic Curves
Journal of Applied Mathematics, 2011 The piecewise algebraic curve, as the set of zeros of a bivariate spline function, is a generalization of the classical algebraic curve. In this paper, an algorithm is presented to compute the real solutions of two piecewise algebraic curves.
Jinming Wu, Xiaolei Zhang
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Semiclassical spectrum for BMN string in Sch 5 × S 5
Journal of High Energy Physics, 2017 We investigate the algebraic curve for string in Sch 5 × S 5. We compute the semiclassical spectrum for BMN string in Sch 5 × S 5 from the algebraic curve.
Hao Ouyang
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The join of algebraic curves [PDF]
Illinois Journal of Mathematics, 2002 Let X,Y be algebraic curves in P^n over C. We give an effective description of the join J(X,Y)\in P^n of X and Y in terms of local parametrizations of X and Y.
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On Uniformization of Algebraic Curves [PDF]
Moscow Mathematical Journal, 2008 Based on Burnside's parametrization of the algebraic curve $y^2=x^5-x$ we provide remaining attributes of its uniformization: Fuchsian equations and their solutions, accessory parameters, monodromies, conformal maps, fundamental polygons, etc. As a generalization, we construct the zero genus uniformization of arbitrary curves.
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Polynomial differential systems with hyperbolic algebraic limit cycles
Electronic Journal of Qualitative Theory of Differential Equations, 2020 For a given algebraic curve of degree $n$, we exhibit differential systems of degree greater than or equal $n$, by introducing functions which are solutions of certain partial differential equations.
Salah Benyoucef
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The number of points on a curve, and applications Arcs and curves: the legacy of Beniamino Segre [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2006 Curves defined over a finite field have various applications, such as (a) the construction of good error-correcting codes, (b) the correspondence with arcs in a finite Desarguesian plane, (c) the Main Conjecture for maximum-distance-separable (MDS ...
J. W. P. Hirschfeld
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An Improved Curvature Circle Algorithm for Orthogonal Projection onto a Planar Algebraic Curve
Mathematics, 2019 Point orthogonal projection onto planar algebraic curve plays an important role in computer graphics, computer aided design, computer aided geometric design and other fields. For the case where the test point p is very far from the planar algebraic
Zhinan Wu, Xiaowu Li
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Descendants of algebraic curves admitting two Galois points [PDF]
arXiv, 2023 A connection between Galois points of an algebraic curve and those of a quotient curve is presented; in particular, the notion of a descendant of algebraic curves admitting two Galois points is introduced. It is shown that all descendants of a Fermat curve are Fermat curves; in particular, a Fermat curve does not have a descendant if and only if the ...
arxiv