论文标题
在kawamata-viehweg上消失的log del del pezzo表面定理，以积极特征
On the Kawamata-Viehweg vanishing theorem for log del Pezzo surfaces in positive characteristic
论文作者
论文摘要
我们证明了kawamata-viehweg消失的定理，用于del pezzo类型的表面上，在正面特征$ p> 5 $的完美领域上。结果，我们表明，在特征性$ p> 5 $的完美基础场上KLT三倍的奇异性是合理的。我们表明，通过提供特征性$ 5 $的反例，这些定理是敏锐的。
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 $5$.
