Big rational surfaces

Damiano Testa; Anthony Várilly-Alvarado; Mauricio Velasco

doi:10.1007/s00208-010-0590-7

Big rational surfaces

Damiano Testa
, Anthony Várilly-Alvarado
, Mauricio Velasco

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

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 P² at distinct points lying on a (possibly reducible) cubic.

Original language	English
Pages (from-to)	95-107
Number of pages	13
Journal	Mathematische Annalen
Volume	351
Issue number	1
DOIs	https://doi.org/10.1007/s00208-010-0590-7
State	Published - Sep 2011
Externally published	Yes

Keywords

Primary 14J26
Secondary 14M05

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10.1007/s00208-010-0590-7

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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 P2 at distinct points lying on a (possibly reducible) cubic.",

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author = "Damiano Testa and Anthony V{\'a}rilly-Alvarado and Mauricio Velasco",

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AU - Várilly-Alvarado, Anthony

AU - Velasco, Mauricio

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AB - 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 P2 at distinct points lying on a (possibly reducible) cubic.

KW - Primary 14J26

KW - Secondary 14M05

UR - https://www.scopus.com/pages/publications/79961029140

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DO - 10.1007/s00208-010-0590-7

M3 - Artículo

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VL - 351

SP - 95

EP - 107

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1

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Big rational surfaces

Abstract

Keywords

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