Big rational surfaces

Details Big rational surfaces Big rational surfaces

2009-01-08

arxiv.org/abs/0901.1094v2

Math. Ann. (2011) 351: 95-107

Mathematics

Algebraic Geometry

Major revision; added examples of big rational surfaces that are not log del Pezzo

Scientific paper

10.1007/s00208-010-0590-7

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.

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