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Parametric equations of plane sextic curves with a maximal set of double points

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Publication:2947376
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DOI10.1142/S0219498815400137zbMath1327.14152arXiv1504.06615OpenAlexW2964245051MaRDI QIDQ2947376

Stepan Yu. Orevkov

Publication date: 22 September 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06615


zbMATH Keywords

parametrizationsextic curve


Mathematics Subject Classification ID

Plane and space curves (14H50) Singularities of surfaces or higher-dimensional varieties (14J17) Computational aspects of algebraic curves (14Q05)


Related Items (2)

A heuristic and evolutionary algorithm to optimize the coefficients of curve parametrizations ⋮ Geography of irreducible plane sextics



Cites Work

  • On plane sextics with double singular points
  • Automatic parameterization of rational curves and surfaces. III: Algebraic plane curves
  • Parametrization of algebraic curves over optimal field extensions
  • Rational parametrizations of algebraic curves using a canonical divisor
  • Classification of sextics of torus type.
  • Sextic curves with simple singularities
  • On the Artal–Carmona–Cogolludo construction


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