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arXiv · 1603.06197

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

Yusuke Nakamura·Jakub Witaszek
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Abstract

The authors and D. Martinelli proved 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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Yusuke Nakamura, Jakub Witaszek. 2016-03-20. On base point free theorem and Mori dream spaces for log canonical threefolds over the algebraic closure of a finite field. https://doi.org/10.1007/s00209-017-1871-6

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