English

Regular singular differential modules over differential rings

Number Theory 2024-11-27 v1

Abstract

We obtain Fuchs decomposition theorem for regular singular differential modules over a large class of differential rings. We provide a definition of regularity inspired by differential Galois theory and we deduce the classical equivalence with vector spaces endowed with an automorphism.

Keywords

Cite

@article{arxiv.2411.16900,
  title  = {Regular singular differential modules over differential rings},
  author = {Andrea Pulita},
  journal= {arXiv preprint arXiv:2411.16900},
  year   = {2024}
}

Comments

34 Pages

R2 v1 2026-06-28T20:12:16.595Z