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

23 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

Access to Document

10.1112/S0010437X16008265

Cite this

@article{48519bf064474a91bf0d59e542b77f75,

title = "On log del Pezzo surfaces in large characteristic",

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.",

keywords = "F-singularities, Kawamata-Viehweg vanishing, log del Pezzo surface, positive characteristic",

author = "Paolo Cascini and Hiromu Tanaka and Jakub Witaszek",

note = "Publisher Copyright: {\textcopyright} 2017 The Authors.",

year = "2017",

month = apr,

day = "1",

doi = "10.1112/S0010437X16008265",

language = "English (US)",

volume = "153",

pages = "820--850",

journal = "Compositio Mathematica",

issn = "0010-437X",

publisher = "Cambridge University Press",

number = "4",

}

TY - JOUR

T1 - On log del Pezzo surfaces in large characteristic

AU - Cascini, Paolo

AU - Tanaka, Hiromu

AU - Witaszek, Jakub

PY - 2017/4/1

Y1 - 2017/4/1

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

UR - http://www.scopus.com/inward/record.url?scp=85014841743&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85014841743&partnerID=8YFLogxK

U2 - 10.1112/S0010437X16008265

DO - 10.1112/S0010437X16008265

M3 - Article

AN - SCOPUS:85014841743

SN - 0010-437X

VL - 153

SP - 820

EP - 850

JO - Compositio Mathematica

JF - Compositio Mathematica

IS - 4

ER -

On log del Pezzo surfaces in large characteristic

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this