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arXiv:2002.07081 [math.AG]AbstractReferencesReviewsResources

Higher Nash blowups of normal toric varieties in prime characteristic

Daniel Duarte, Luis Núñez-Betancourt

Published 2020-02-17Version 1

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.

Comments: 12 pages, comments welcome
Categories: math.AG
Subjects: 14B05, 14E15, 14M25
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