Nef and semiample divisors on rational surfaces
Algebraic Geometry
2013-03-27 v3
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.
Cite
@article{arxiv.1104.4270,
title = {Nef and semiample divisors on rational surfaces},
author = {Antonio Laface and Damiano Testa},
journal= {arXiv preprint arXiv:1104.4270},
year = {2013}
}
Comments
15 pages, 2 figures. Revised version, to appear in "Torsors, \'etale homotopy and applications to rational points"