正常环面性状的高纳什膨胀

IF 0.4 4区数学 Q4 MATHEMATICS Tohoku Mathematical Journal Pub Date : 2020-02-17 DOI:10.2748/tmj.20200618

Daniel Duarte, Luis N'unez-Betancourt

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引用次数: 5

摘要

证明了定义在正特征域上的正规环变的高纳什爆当且仅当其非奇异是同构的。我们还推广了R. Toh-Yama的结果，该结果表明更高的纳什爆炸并不能给出$A_3$奇点的一步解决。这些结果以前只在特征零中已知。

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Higher Nash blowups of normal toric varieties in prime characteristic

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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