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

41 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.",

keywords = "Primary 14J26, Secondary 14M05",

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

year = "2011",

month = sep,

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

language = "Ingl{\'e}s",

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journal = "Mathematische Annalen",

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TY - JOUR

T1 - Big rational surfaces

AU - Testa, Damiano

AU - Várilly-Alvarado, Anthony

AU - Velasco, Mauricio

PY - 2011/9

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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

U2 - 10.1007/s00208-010-0590-7

DO - 10.1007/s00208-010-0590-7

M3 - Artículo

AN - SCOPUS:79961029140

SN - 0025-5831

VL - 351

SP - 95

EP - 107

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 1

ER -

Big rational surfaces

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