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arXiv · 1104.4270

Nef and semiample divisors on rational surfaces

Antonio Laface·Damiano Testa
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Abstract

In this paper we study smooth projective rational surfaces, defined over an algebraically closed field of any characteristic, with pseudo-effective anticanonical divisor. We provide a necessary and sufficient condition in order for any nef divisor to be semiample. We adopt our criterion to investigate Mori dream surfaces in the complex case.

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Antonio Laface, Damiano Testa. 2011-04-21. Nef and semiample divisors on rational surfaces. https://arxiv.org/abs/1104.4270

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