English

A Frobenius theorem in algebraic geometry

Algebraic Geometry 2024-04-04 v1

Abstract

We show that a formal Deligne--Mumford stack is formal-locally represented by a formal scheme. This is an analogue of Frobenius theorem for smooth foliations in any characteristic and without smoothness hypotheses on the ambient space.

Keywords

Cite

@article{arxiv.2404.02600,
  title  = {A Frobenius theorem in algebraic geometry},
  author = {Federico Bongiorno},
  journal= {arXiv preprint arXiv:2404.02600},
  year   = {2024}
}

Comments

17 pages

R2 v1 2026-06-28T15:42:49.518Z