Nash blowups in prime characteristic
نویسندگان
چکیده
We initiate the study of Nash blowups in prime characteristic. First, we show that a normal variety is non-singular if and only its blowup an isomorphism, extending theorem by A. Nobile. also higher blowups, as defined T. Yasuda. Specifically, give characteristic-free proof version Nobile’s for quotient varieties hypersurfaces. prove weaker $F$-pure varieties.
منابع مشابه
Flag Higher Nash Blowups
In his previous paper [5], the author has defined a higher version of the Nash blowup and considered it a possible candidate for the one-step resolution. In this paper, we will introduce another higher version of the Nash blowup and prove that it is compatible with products and smooth morphisms. We will also prove that the product of curves can be desingularized via both versions.
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ژورنال
عنوان ژورنال: Revista Matematica Iberoamericana
سال: 2021
ISSN: ['2235-0616', '0213-2230']
DOI: https://doi.org/10.4171/rmi/1278