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

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

39 Citas (Scopus)

Resumen

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.

Idioma original	Inglés
Páginas (desde-hasta)	95-107
Número de páginas	13
Publicación	Mathematische Annalen
Volumen	351
N.º	1
DOI	https://doi.org/10.1007/s00208-010-0590-7
Estado	Publicada - set. 2011
Publicado de forma externa	Sí

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title = "Big rational surfaces",

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",

year = "2011",

month = sep,

doi = "10.1007/s00208-010-0590-7",

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T1 - Big rational surfaces

AU - Testa, Damiano

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 - http://www.scopus.com/inward/record.url?scp=79961029140&partnerID=8YFLogxK

U2 - 10.1007/s00208-010-0590-7

DO - 10.1007/s00208-010-0590-7

M3 - Artículo

AN - SCOPUS:79961029140

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VL - 351

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JO - Mathematische Annalen

JF - Mathematische Annalen

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Big rational surfaces

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