论文标题
主要特征的紫红色品种的纳什爆炸
Nash blowups of toric varieties in prime characteristic
论文作者
论文摘要
我们启动研究纳什爆炸在主要特征领域的奇异性特性的分辨率。我们证明了归一化nash爆炸的迭代使正常的曲面表面呈现。我们还介绍了对数雅各布式的曲折型理想的主要特征版本，并证明了它的爆炸与该品种的纳什爆炸相吻合。结果，可以在术中描述A的NASH爆炸，不一定是正常的图意的多种任意尺寸。
We initiate the study of the resolution of singularities properties of Nash blowups over fields of prime characteristic. We prove that the iteration of normalized Nash blowups desingularizes normal toric surfaces. We also introduce a prime characteristic version of the logarithmic Jacobian ideal of a toric variety and prove that its blowup coincides with the Nash blowup of the variety. As a consequence, the Nash blowup of a, not necessarily normal, toric variety of arbitrary dimension in prime characteristic can be described combinatorially.
