On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic

Emelie Kerstin Arvidsson
2021
Journal paper

Abstract

We investigate the vanishing of H1(X,OX(−D)) for a big and nef Q-Cartier Z-divisor D on a log del Pezzo pair (X,Δ) over a perfect field of positive characteristic p.

Official source

https://infoscience.epfl.ch/record/285981?ln=en

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Vanishing theorems in positive characteristic

Emelie Kerstin Arvidsson

The topic of this thesis is vanishing theorems in positive characteristic. In particular, we use "the covering trick of Ekedahl" to investigate the vanishing of

H^1(X, \mathcal{O}_X(-D))

for a big and nef Weil divisor

D

on a normal projective variety w ...

EPFL2021

On the Kodaira vanishing theorem for log del Pezzo surfaces in positive characteristic

Vanishing theorems in positive characteristic

On subadditivity of Kodaira dimension in positive characteristic over a general type base

On subadditivity of Kodaira dimension in positive characteristic over a general type base

Vanishing theorems in positive characteristic