Parametric equations of plane sextic curves with a maximal set of double points-Reference-Cited by-同舟云学术

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

Published:2015-07-10 Issue:09 Volume:14 Page:1540013
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Orevkov Stepan¹

Affiliation:

1. IMT, Université Paul Sabatier, Toulouse, France, Steklov Math. Inst., Moscow, Russia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498815400137

Reference10 articles.

1. Automatic parameterization of rational curves and surfaces III: Algebraic plane curves

2. On Sextic Curves with Big Milnor Number

3. On plane sextics with double singular points

4. On the Artal–Carmona–Cogolludo construction

5. Über die diophantischen Gleichungen vom Geschlecht Null

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