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Big rational surfaces

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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Co-authorshipCo-authorshipCo-authorshipAuthorshipAuthorshipAuthorshipTopic signalWBig rational surfacespreprint / 2009ADamiano TestaResearcherAAnthony Várilly-AlvaradoResearcherAMauricio VelascoResearcherTmath.AG5393 works
PaperSignal 104 links

Big rational surfaces

preprint / 2009

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