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Big rational surfaces |
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| Authors: | Damiano Testa Anthony Várilly-Alvarado Mauricio Velasco |
| Affiliation: | (1) Department of Mathematics, Lehigh University, Bethlehem, PA 18015, USA;(2) Department of Mathematics, SUNY at Buffalo, Buffalo, NY 14260, USA |
| 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 mathbbP2{mathbb{P}^2} at distinct points lying on a (possibly reducible) cubic. |
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