English

Regular singular differential equations and free proalgebraic groups

Algebraic Geometry 2022-09-07 v1 Commutative Algebra

Abstract

We determine the differential Galois group of the family of all regular singular differential equations on the Riemann sphere. It is the free proalgebraic group on a set of cardinality C|\mathbb{C}|.

Keywords

Cite

@article{arxiv.2209.01764,
  title  = {Regular singular differential equations and free proalgebraic groups},
  author = {Michael Wibmer},
  journal= {arXiv preprint arXiv:2209.01764},
  year   = {2022}
}

Comments

13 pages

R2 v1 2026-06-28T00:43:10.032Z