Nash blowup fails to resolve singularities in dimensions four and higher
Algebraic Geometry
2025-11-10 v3
Abstract
In this paper we show that iterating Nash blowups or normalized Nash blowups does not resolve the singularities of algebraic varieties of dimension four or higher over an algebraically closed field of arbitrary characteristic.
Keywords
Cite
@article{arxiv.2409.19767,
title = {Nash blowup fails to resolve singularities in dimensions four and higher},
author = {Federico Castillo and Daniel Duarte and Maximiliano Leyton-Álvarez and Alvaro Liendo},
journal= {arXiv preprint arXiv:2409.19767},
year = {2025}
}
Comments
To appear in Annals of Mathematics