A survey on Cox rings

2008/10/21 by Laface, Antonio, Velasco, Mauricio
#14C20 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.0810.3730

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.

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• Cox rings of morphisms and resolution of singularities
• Factorially graded rings and Cox rings
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