论文标题

特征性$ p> 5 $的三倍的消失定理和应用

A vanishing theorem for threefolds in characteristic $p>5$ and applications

论文作者

Bernasconi, Fabio

论文摘要

在本说明中,我们显示了一个kawamata-viehweg在特征上的三倍$ p> 5 $的三倍的PL合同中消失的定理。我们推断了KLT三倍的几种应用:消失的Mori纤维空间结构束带的更高直接图像,Kollár在局部消失的结果以及圆锥形束底座的奇异性的合理性。

In this note we show a Kawamata-Viehweg vanishing theorem for pl-contractions on threefolds in characteristic $p>5$. We deduce several applications for klt threefolds: the vanishing of higher direct images of structure sheaves of Mori fibre spaces, Kollár's result on local vanishing and the rationality of the singularities of the base of a conic bundle.

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