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arXiv · 2002.07081

Higher Nash blowups of normal toric varieties in prime characteristic

Daniel Duarte·Luis Núñez-Betancourt
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Abstract

We prove that the higher Nash blowup of a normal toric variety defined over a field of positive characteristic is an isomorphism if and only if it is non-singular. We also extend a result by R. Toh-Yama which shows that higher Nash blowups do not give a one-step resolution of the $A_3$-singularity. These results were previously known only in characteristic zero.

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Daniel Duarte, Luis Núñez-Betancourt. 2020-02-17. Higher Nash blowups of normal toric varieties in prime characteristic. https://arxiv.org/abs/2002.07081

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