On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field

Diletta Martinelli; Yusuke Nakamura; Jakub Witaszek

doi:10.2140/ant.2015.9.725

On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field

Diletta Martinelli, Yusuke Nakamura, Jakub Witaszek

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

7 Scopus citations

Abstract

We prove the basepoint-free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a finite field. This theorem is not valid for any other algebraically closed field.

Original language	English (US)
Pages (from-to)	725-747
Number of pages	23
Journal	Algebra and Number Theory
Volume	9
Issue number	3
DOIs	https://doi.org/10.2140/ant.2015.9.725
State	Published - Jul 11 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Basepoint-free theorem
Finite fields
Positive characteristic
Semiample line bundles

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10.2140/ant.2015.9.725

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title = "On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field",

abstract = "We prove the basepoint-free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a finite field. This theorem is not valid for any other algebraically closed field.",

keywords = "Basepoint-free theorem, Finite fields, Positive characteristic, Semiample line bundles",

author = "Diletta Martinelli and Yusuke Nakamura and Jakub Witaszek",

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AU - Nakamura, Yusuke

AU - Witaszek, Jakub

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N2 - We prove the basepoint-free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a finite field. This theorem is not valid for any other algebraically closed field.

AB - We prove the basepoint-free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a finite field. This theorem is not valid for any other algebraically closed field.

KW - Basepoint-free theorem

KW - Finite fields

KW - Positive characteristic

KW - Semiample line bundles

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On the basepoint-free theorem for log canonical threefolds over the algebraic closure of a finite field

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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