Existence of Mori fibre spaces for 3-folds in char p

Caucher Birkar; Joe Waldron

doi:10.1016/j.aim.2017.03.032

Existence of Mori fibre spaces for 3-folds in char p

Caucher Birkar
, Joe Waldron

Mathematics

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

46 Scopus citations

Abstract

We prove the following results for projective klt pairs of dimension 3 over an algebraically closed field of characteristic p>5: the cone theorem, the base point free theorem, the contraction theorem, finiteness of minimal models, termination with scaling, existence of Mori fibre spaces, etc.

Original language	English (US)
Pages (from-to)	62-101
Number of pages	40
Journal	Advances in Mathematics
Volume	313
DOIs	https://doi.org/10.1016/j.aim.2017.03.032
State	Published - Jun 20 2017

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Base point freeness
Char p
Cone theorem
Minimal model program
Mori fibre spaces
Termination of flips

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10.1016/j.aim.2017.03.032

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title = "Existence of Mori fibre spaces for 3-folds in char p",

abstract = "We prove the following results for projective klt pairs of dimension 3 over an algebraically closed field of characteristic p>5: the cone theorem, the base point free theorem, the contraction theorem, finiteness of minimal models, termination with scaling, existence of Mori fibre spaces, etc.",

keywords = "Base point freeness, Char p, Cone theorem, Minimal model program, Mori fibre spaces, Termination of flips",

author = "Caucher Birkar and Joe Waldron",

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AU - Waldron, Joe

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N2 - We prove the following results for projective klt pairs of dimension 3 over an algebraically closed field of characteristic p>5: the cone theorem, the base point free theorem, the contraction theorem, finiteness of minimal models, termination with scaling, existence of Mori fibre spaces, etc.

AB - We prove the following results for projective klt pairs of dimension 3 over an algebraically closed field of characteristic p>5: the cone theorem, the base point free theorem, the contraction theorem, finiteness of minimal models, termination with scaling, existence of Mori fibre spaces, etc.

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KW - Char p

KW - Cone theorem

KW - Minimal model program

KW - Mori fibre spaces

KW - Termination of flips

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UR - https://www.scopus.com/pages/publications/85017358305#tab=citedBy

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EP - 101

JO - Advances in Mathematics

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Existence of Mori fibre spaces for 3-folds in char p

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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