论文标题
纳什爆炸中的主要特征
Nash blowups in prime characteristic
论文作者
论文摘要
我们启动了主要特征的NASH爆炸的研究。首先，我们表明，当且仅当其nash爆炸是同构时，正常品种是非象征性的，而A. nobile则扩展了定理。我们还研究了T. Yasuda所定义的更高的NASH爆炸。具体而言，我们提供了更高版本的Nobile定理的特征性证明，以提供商品和超曲面。我们还证明了$ f $ pure的品种的较弱版本。
We initiate the study of Nash blowups in prime characteristic. First, we show that a normal variety is non-singular if and only if its Nash blowup is an isomorphism, extending a theorem by A. Nobile. We also study higher Nash blowups, as defined by T. Yasuda. Specifically, we give a characteristic-free proof of a higher version of Nobile's Theorem for quotient varieties and hypersurfaces. We also prove a weaker version for $F$-pure varieties.
