English

On log del Pezzo surfaces in large characteristic

Algebraic Geometry 2019-02-20 v2

Abstract

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

Cite

@article{arxiv.1601.03583,
  title  = {On log del Pezzo surfaces in large characteristic},
  author = {Paolo Cascini and Hiromu Tanaka and Jakub Witaszek},
  journal= {arXiv preprint arXiv:1601.03583},
  year   = {2019}
}

Comments

v2: final version. To appear in Compositio Mathematica

R2 v1 2026-06-22T12:29:24.503Z