论文标题
较高的纳什爆炸是主要特征中正常旋转品种
Higher Nash blowups of normal toric varieties in prime characteristic
论文作者
论文摘要
我们证明，在且仅当它是非singular时，在阳性特征领域定义的正常旋转型品种的较高nash爆炸是同构的。我们还扩展了R. Toh-Yama的结果，该结果表明，较高的NASH爆炸不会给出$ a_3 $ singularity的一步分辨率。这些结果以前仅在特征零中已知。
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.
