A survey on Cox rings

Antonio Laface; Mauricio Velasco

doi:10.1007/s10711-008-9329-y

A survey on Cox rings

Antonio Laface
, Mauricio Velasco

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

24 Scopus citations

Abstract

We survey the construction of the Cox ring of an algebraic variety X and study the birational geometry of X when its Cox ring is finitely generated.

Original language	English
Pages (from-to)	269-287
Number of pages	19
Journal	Geometriae Dedicata
Volume	139
Issue number	1
DOIs	https://doi.org/10.1007/s10711-008-9329-y
State	Published - Apr 2009
Externally published	Yes

Keywords

Cox rings
Mori theory
Toric varieties

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10.1007/s10711-008-9329-y

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title = "A survey on Cox rings",

abstract = "We survey the construction of the Cox ring of an algebraic variety X and study the birational geometry of X when its Cox ring is finitely generated.",

keywords = "Cox rings, Mori theory, Toric varieties",

author = "Antonio Laface and Mauricio Velasco",

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journal = "Geometriae Dedicata",

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AB - We survey the construction of the Cox ring of an algebraic variety X and study the birational geometry of X when its Cox ring is finitely generated.

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KW - Mori theory

KW - Toric varieties

UR - https://www.scopus.com/pages/publications/61449149369

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DO - 10.1007/s10711-008-9329-y

M3 - Artículo

AN - SCOPUS:61449149369

SN - 0046-5755

VL - 139

SP - 269

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JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

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A survey on Cox rings

Abstract

Keywords

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