On the base-point-free theorem of 3-folds in positive characteristic

Chenyang Xu

doi:10.1017/S1474748014000097

On the base-point-free theorem of 3-folds in positive characteristic

Chenyang Xu

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

13 Scopus citations

Abstract

Let (X,Δ) be a projective klt (standing for Kawamata log terminal) three-dimensional pair defined over an algebraically closed field k with char(k)>5. Let L be a nef (numerically eventually free) and big line bundle on X such that L-K_X-Δ is big and nef. We show that L is indeed semi-ample.

Original language	English (US)
Pages (from-to)	577-588
Number of pages	12
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	14
Issue number	3
DOIs	https://doi.org/10.1017/S1474748014000097
State	Published - Jul 4 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S1474748014000097

Cite this

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abstract = "Let (X,Δ) be a projective klt (standing for Kawamata log terminal) three-dimensional pair defined over an algebraically closed field k with char(k)>5. Let L be a nef (numerically eventually free) and big line bundle on X such that L-KX-Δ is big and nef. We show that L is indeed semi-ample.",

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AB - Let (X,Δ) be a projective klt (standing for Kawamata log terminal) three-dimensional pair defined over an algebraically closed field k with char(k)>5. Let L be a nef (numerically eventually free) and big line bundle on X such that L-KX-Δ is big and nef. We show that L is indeed semi-ample.

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On the base-point-free theorem of 3-folds in positive characteristic

Abstract

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