Nash blowups of 2-generic determinantal varieties in positive characteristic
Algebraic Geometry
2025-04-03 v2
Abstract
We show that the Nash blowup of 2-generic determinantal varieties over fields of positive characteristic is non-singular. We prove this in two steps. Firstly, we explicitly describe the toric structure of such varieties. Secondly, we show that in this case the combinatorics of Nash blowups are free of characteristic. The result then follows from the analogous result in characteristic zero proved by W. Ebeling and S. M. Gusein-Zade.
Keywords
Cite
@article{arxiv.2409.04688,
title = {Nash blowups of 2-generic determinantal varieties in positive characteristic},
author = {Thaís M. Dalbelo and Daniel Duarte and Maria Aparecida Soares Ruas},
journal= {arXiv preprint arXiv:2409.04688},
year = {2025}
}
Comments
Published in Pure and Applied Mathematics Quaterly