On base point free theorem of threefolds in positive characteristic

Chenyang Xu

On base point free theorem of threefolds in positive characteristic

Algebraic Geometry 2014-03-18 v2

Authors: Chenyang Xu

Abstract

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

Keywords

base point free theorem threefolds positive characteristic klt pairs nef line bundle big line bundle semi-ample

Cite

@article{arxiv.1311.3819,
  title  = {On base point free theorem of threefolds in positive characteristic},
  author = {Chenyang Xu},
  journal= {arXiv preprint arXiv:1311.3819},
  year   = {2014}
}

Comments

Minor changes in the second version

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