On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
On the Kawamata–Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
复制标题
DOI：
10.1112/s0010437x22007394
复制
发表时间：
2020-06
影响因子：
1.8
通讯作者：
Emelie Arvidsson;F. Bernasconi;Justin Lacini
中科院分区：
文献类型：
--
作者：
Emelie Arvidsson;F. Bernasconi;Justin Lacini
证明了正特征域上Del Pezzo型曲面的Kawamata-Viehweg消失定理。因此，我们证明了特征为$p>；5的完美基域上的三重奇点是有理的。通过在特征$5中提供反例，我们证明了这些定理是尖锐的。
We prove the Kawamata–Viehweg vanishing theorem for surfaces of del Pezzo type over perfect fields of positive characteristic $p>5$. As a consequence, we show that klt threefold singularities over a perfect base field of characteristic $p>5$ are rational. We show that these theorems are sharp by providing counterexamples in characteristic $5$.