Formal splitting and stack-theoretic normal crossings desingularization
Algebraic Geometry
2026-03-23 v1 Complex Variables
Abstract
We show that stack-theoretic resolution of singularities preserving normal crossings (partial desingularization) by weighted blowings-up, can be obtained in a simple direct way from a splitting theorem of the first and third authors, using the algorithm of Abramovich, Temkin and W{\l}odarczyk for resolution of singularities by weighted blowings-up.
Keywords
Cite
@article{arxiv.2603.19365,
title = {Formal splitting and stack-theoretic normal crossings desingularization},
author = {André Belotto da Silva and François Bernard and Edward Bierstone},
journal= {arXiv preprint arXiv:2603.19365},
year = {2026}
}
Comments
8 pages, comments welcome