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arxiv: 0901.1094 · v2 · pith:LWNEP2K5new · submitted 2009-01-08 · 🧮 math.AG

Big rational surfaces

classification 🧮 math.AG
keywords rationalsurfacesanticanonicalblow-upsclassclassifycubicdistinct
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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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