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

23 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

Access to Document

10.1007/s10711-008-9329-y

Cite this

@article{36045e76d0b449038fdbff9e5b94b57e,

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",

year = "2009",

month = apr,

doi = "10.1007/s10711-008-9329-y",

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

volume = "139",

pages = "269--287",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - A survey on Cox rings

AU - Laface, Antonio

AU - Velasco, Mauricio

PY - 2009/4

Y1 - 2009/4

N2 - 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.

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.

KW - Cox rings

KW - Mori theory

KW - Toric varieties

UR - http://www.scopus.com/inward/record.url?scp=61449149369&partnerID=8YFLogxK

U2 - 10.1007/s10711-008-9329-y

DO - 10.1007/s10711-008-9329-y

M3 - Artículo

AN - SCOPUS:61449149369

SN - 0046-5755

VL - 139

SP - 269

EP - 287

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

A survey on Cox rings

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this