Uniform bounds for strongly $F$-regular surfaces

Uniform bounds for strongly $F$-regular surfaces
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强 $F$ 规则曲面的统一边界

DOI:
10.1090/tran/6515
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发表时间:
2014
期刊:
arXiv: Algebraic Geometry
影响因子:
--
通讯作者:
Karl Schwede
Karl Schwede
中科院分区:
--
文献类型:
--
作者:
Paolo Cascini;Yoshinori Gongyo;Karl Schwede

文献摘要

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证明了如果$(X,B)$是定义在特征为$p $的代数闭域上的二维Kawamata对数终端对,且$p $足够大,仅依赖于$B $的系数,则$(X,B)$也是强F $-正则的.
We show that if $(X,B)$ is a two dimensional Kawamata log terminal pair defined over an algebraically closed field of characteristic $p$, and $p$ is sufficiently large, depending only on the coefficients of $B$, then $(X,B)$ is also strongly $F$-regular.