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

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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.

Original languageEnglish (US)
Pages (from-to)577-588
Number of pages12
JournalJournal of the Institute of Mathematics of Jussieu
Volume14
Issue number3
DOIs
StatePublished - Jul 4 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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