On log del Pezzo surfaces in large characteristic
On log del Pezzo surfaces in large characteristic
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DOI：
10.1112/s0010437x16008265
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发表时间：
2016-01
影响因子：
1.8
通讯作者：
P. Cascini;Hiromu Tanaka;J. Witaszek
中科院分区：
文献类型：
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作者：
P. Cascini;Hiromu Tanaka;J. Witaszek
证明了在具有大特征的代数闭域上的任何Kawamata log terminal del Pezzo曲面是全局$F$正则的，或者它承认一个提升到特征零的对数分辨率。因此，我们证明了具有大特征的klt del Pezzo曲面的Kawamata-Viehweg消失定理。
We show that any Kawamata log terminal del Pezzo surface over an algebraically closed field of large characteristic is globally $F$ -regular or it admits a log resolution which lifts to characteristic zero. As a consequence, we prove the Kawamata–Viehweg vanishing theorem for klt del Pezzo surfaces of large characteristic.