Nash blowups of toric varieties in prime characteristic
Algebraic Geometry
2023-04-07 v2
Abstract
We initiate the study of the resolution of singularities properties of Nash blowups over fields of prime characteristic. We prove that the iteration of normalized Nash blowups desingularizes normal toric surfaces. We also introduce a prime characteristic version of the logarithmic Jacobian ideal of a toric variety and prove that its blowup coincides with the Nash blowup of the variety. As a consequence, the Nash blowup of a, not necessarily normal, toric variety of arbitrary dimension in prime characteristic can be described combinatorially.
Keywords
Cite
@article{arxiv.2208.05599,
title = {Nash blowups of toric varieties in prime characteristic},
author = {Daniel Duarte and Jack Jeffries and Luis Núñez-Betancourt},
journal= {arXiv preprint arXiv:2208.05599},
year = {2023}
}