Functorial flatification of proper morphisms
Algebraic Geometry
2025-01-16 v1
Abstract
For proper morphisms, we give a functorial flatification algorithm by blow-ups in the spirit of Hironaka's flatification algorithm. In characteristic zero, this gives functorial flatification by blow-ups in smooth centers. We also give a functorial \'etalification algorithm by Kummer blow-ups in characteristic zero.
Keywords
Cite
@article{arxiv.2501.08394,
title = {Functorial flatification of proper morphisms},
author = {David Rydh},
journal= {arXiv preprint arXiv:2501.08394},
year = {2025}
}
Comments
19 pages