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

Arvidsson, Emelie Kerstin

doi:10.1007/s00209-021-02742-6

research article

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

Arvidsson, Emelie Kerstin

May 6, 2021

Mathematische Zeitschrift

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.

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Arvidsson2021_Article_OnTheKodairaVanishingTheoremFo.pdf

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