Non-log liftable log del Pezzo surfaces of rank one in characteristic five
Non-log liftable log del Pezzo surfaces of rank one in characteristic five
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发表时间：
2021-09
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通讯作者：
Masaru Nagaoka
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作者：
Masaru Nagaoka
.在Lacini [arXiv：2005.14544]的分类基础上，我们确定了特征为5的代数闭域上秩为1的log del Pezzo曲面的同构类，这些曲面在Witt向量环上不是log提升的，或者其奇点在特征零中是不可行的。我们还表明，Kawamata-Viehweg消失定理充分的Z-Weil因子成立的log del Pezzo曲面的秩1的特征五，如果这些奇异性是可行的特征零。
. Building upon the classification by Lacini [arXiv:2005.14544], we determine the isomorphism classes of log del Pezzo surfaces of rank one over an algebraically closed field of characteristic five either which are not log liftable over the ring of Witt vectors or whose singularities are not feasible in characteristic zero. We also show that the Kawamata-Viehweg vanishing theorem for ample Z -Weil divisors holds for log del Pezzo surfaces of rank one in characteristic five if those singularities are feasible in characteristic zero.