English

An algorithm for computing differential equations for invariant curves

Algebraic Geometry 2017-09-05 v2

Abstract

In this paper we describe an algorithm based on the Picard-Vessiot theory that constructs, given any curve invariant under a finite linear algebraic group over the complex numbers, an ordinary linear differential equation whose Schwarz map parametrizes it.

Keywords

Cite

@article{arxiv.1708.08555,
  title  = {An algorithm for computing differential equations for invariant curves},
  author = {Camilo Sanabria Malagón},
  journal= {arXiv preprint arXiv:1708.08555},
  year   = {2017}
}

Comments

11 pages, v2 funding info added and minor mistake corrected

R2 v1 2026-06-22T21:25:49.403Z