English

Resolution of singularities for the dynamical mathematician

Algebraic Geometry 2025-03-24 v1

Abstract

I begin by explaining to non-specialists why resolution of singularities in characteristic 0 works. Then I go into some ideas telling how it actually works. I finish with a brief discussion of related results on foliations. I report on work with Andr\'e Belotto da Silva, Michael Temkin, and Jaros{\l}aw W{\l}odarczyk; any claim to originality is joint with them and appears in the paper [AdSTW25].

Keywords

Cite

@article{arxiv.2503.17321,
  title  = {Resolution of singularities for the dynamical mathematician},
  author = {Dan Abramovich},
  journal= {arXiv preprint arXiv:2503.17321},
  year   = {2025}
}

Comments

18 pages, 4 figures. These are lecture notes for a minicourse by the same title delivered at the CIRM conference "Foliations, birational geometry and applications", 3-7 February, 2025

R2 v1 2026-06-28T22:30:03.624Z