On log del Pezzo surfaces in large characteristic

Paolo Cascini, Hiromu Tanaka, Jakub Witaszek

Research output: Contribution to journalArticlepeer-review

19 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 languageEnglish (US)
Pages (from-to)820-850
Number of pages31
JournalCompositio Mathematica
Volume153
Issue number4
DOIs
StatePublished - Apr 1 2017
Externally publishedYes

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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