On base point free theorem of threefolds in positive characteristic

preprint2014arXivOpen access

Abstract

Let (X,Δ)(X, Δ) be a projective klt three dimensional pair defined over an algebraically closed field characteristic larger than 5. Let LL be a nef and big line bundle on XX such that L−KX−ΔL-K_X-Δ is big and nef. We show that LL is indeed semi-ample.

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