Finite generation of the log canonical ring for 3-folds in char p

Joe Waldron

doi:10.4310/MRL.2017.v24.n3.a14

Finite generation of the log canonical ring for 3-folds in char p

Joe Waldron

Mathematics

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

10 Scopus citations

Abstract

We prove that the log canonical ring of a projective klt pair of dimension 3 with Q-boundary over an algebraically closed field of characteristic p > 5 is finitely generated. In the process we prove log abundance for such pairs in the case κ = 2.

Original language	English (US)
Pages (from-to)	933-946
Number of pages	14
Journal	Mathematical Research Letters
Volume	24
Issue number	3
DOIs	https://doi.org/10.4310/MRL.2017.v24.n3.a14
State	Published - 2017

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/MRL.2017.v24.n3.a14

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title = "Finite generation of the log canonical ring for 3-folds in char p",

abstract = "We prove that the log canonical ring of a projective klt pair of dimension 3 with Q-boundary over an algebraically closed field of characteristic p > 5 is finitely generated. In the process we prove log abundance for such pairs in the case κ = 2.",

author = "Joe Waldron",

note = "Funding Information: The author would like to thank Caucher Birkar for his advice and support and the referee for their helpful comments. This research was funded by an EPSRC studentship.",

year = "2017",

doi = "10.4310/MRL.2017.v24.n3.a14",

language = "English (US)",

volume = "24",

pages = "933--946",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press, Inc.",

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T1 - Finite generation of the log canonical ring for 3-folds in char p

AU - Waldron, Joe

N1 - Funding Information: The author would like to thank Caucher Birkar for his advice and support and the referee for their helpful comments. This research was funded by an EPSRC studentship.

PY - 2017

Y1 - 2017

N2 - We prove that the log canonical ring of a projective klt pair of dimension 3 with Q-boundary over an algebraically closed field of characteristic p > 5 is finitely generated. In the process we prove log abundance for such pairs in the case κ = 2.

AB - We prove that the log canonical ring of a projective klt pair of dimension 3 with Q-boundary over an algebraically closed field of characteristic p > 5 is finitely generated. In the process we prove log abundance for such pairs in the case κ = 2.

UR - https://www.scopus.com/pages/publications/85028700034

UR - https://www.scopus.com/pages/publications/85028700034#tab=citedBy

U2 - 10.4310/MRL.2017.v24.n3.a14

DO - 10.4310/MRL.2017.v24.n3.a14

M3 - Article

AN - SCOPUS:85028700034

SN - 1073-2780

VL - 24

SP - 933

EP - 946

JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 3

ER -

Finite generation of the log canonical ring for 3-folds in char p

Abstract

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