English

The regular singular inverse problem in differential Galois theory

Algebraic Geometry 2025-01-15 v1

Abstract

We show that every linear algebraic group over an algebraically closed field of characteristic zero is the differential Galois group of a regular singular linear differential equation with rational function coefficients.

Keywords

Cite

@article{arxiv.2501.07993,
  title  = {The regular singular inverse problem in differential Galois theory},
  author = {Thomas Serafini and Michael Wibmer},
  journal= {arXiv preprint arXiv:2501.07993},
  year   = {2025}
}

Comments

13 pages

R2 v1 2026-06-28T21:05:43.706Z