On log del Pezzo surfaces in large characteristic

Paolo Cascini; Hiromu Tanaka; Jakub Witaszek

doi:10.1112/S0010437X16008265

On log del Pezzo surfaces in large characteristic

Paolo Cascini, Hiromu Tanaka, Jakub Witaszek

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

We show that any Kawamata log terminal del Pezzo surface over an algebraically closed field of large characteristic is globally -regular or it admits a log resolution which lifts to characteristic zero. As a consequence, we prove the Kawamata-Viehweg vanishing theorem for klt del Pezzo surfaces of large characteristic.

Original language	English (US)
Pages (from-to)	820-850
Number of pages	31
Journal	Compositio Mathematica
Volume	153
Issue number	4
DOIs	https://doi.org/10.1112/S0010437X16008265
State	Published - Apr 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

F-singularities
Kawamata-Viehweg vanishing
log del Pezzo surface
positive characteristic

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10.1112/S0010437X16008265

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AU - Witaszek, Jakub

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N2 - We show that any Kawamata log terminal del Pezzo surface over an algebraically closed field of large characteristic is globally -regular or it admits a log resolution which lifts to characteristic zero. As a consequence, we prove the Kawamata-Viehweg vanishing theorem for klt del Pezzo surfaces of large characteristic.

AB - We show that any Kawamata log terminal del Pezzo surface over an algebraically closed field of large characteristic is globally -regular or it admits a log resolution which lifts to characteristic zero. As a consequence, we prove the Kawamata-Viehweg vanishing theorem for klt del Pezzo surfaces of large characteristic.

KW - F-singularities

KW - Kawamata-Viehweg vanishing

KW - log del Pezzo surface

KW - positive characteristic

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On log del Pezzo surfaces in large characteristic

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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