On the base point free theorem and Mori dream spaces for log canonical threefolds over the algebraic closure of a finite field

Yusuke Nakamura; Jakub Witaszek

doi:10.1007/s00209-017-1871-6

On the base point free theorem and Mori dream spaces for log canonical threefolds over the algebraic closure of a finite field

Yusuke Nakamura, Jakub Witaszek

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

1 Scopus citations

Abstract

The authors and D. Martinelli proved in (Algebra Number Theory 9(3):725–747, 2015) the base point free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a finite field. In this paper, we drop the bigness condition when the characteristic is larger than five. Additionally, we discuss Mori dream spaces defined over the algebraic closure of a finite field.

Original language	English (US)
Pages (from-to)	1343-1353
Number of pages	11
Journal	Mathematische Zeitschrift
Volume	287
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-017-1871-6
State	Published - Dec 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Base point free theorem
Finite fields
Positive characteristic
Semiample line bundles

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10.1007/s00209-017-1871-6

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AB - The authors and D. Martinelli proved in (Algebra Number Theory 9(3):725–747, 2015) the base point free theorem for big line bundles on a three-dimensional log canonical projective pair defined over the algebraic closure of a finite field. In this paper, we drop the bigness condition when the characteristic is larger than five. Additionally, we discuss Mori dream spaces defined over the algebraic closure of a finite field.

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KW - Positive characteristic

KW - Semiample line bundles

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On the base point free theorem and Mori dream spaces for log canonical threefolds over the algebraic closure of a finite field

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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