Big rational surfaces
Algebraic Geometry
2011-08-31 v2
Abstract
We prove that the Cox ring of a smooth rational surface with big anticanonical class is finitely generated. We classify surfaces of this type that are blow-ups of the plane at distinct points lying on a (possibly reducible) cubic.
Cite
@article{arxiv.0901.1094,
title = {Big rational surfaces},
author = {Damiano Testa and Anthony Várilly-Alvarado and Mauricio Velasco},
journal= {arXiv preprint arXiv:0901.1094},
year = {2011}
}
Comments
Major revision; added examples of big rational surfaces that are not log del Pezzo