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A survey on Cox rings
Authors:Antonio Laface  Mauricio Velasco
Institution:(1) Departamento de Matemática, Universidad de Concepción, Casilla 160-C, Concepción, Chile;(2) Department of Mathematics, University of California, 1063 Evans Hall, Berkeley, CA, USA
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. Basic notation. Throughout this paper k is an algebraically closed field.
Keywords:Cox rings  Toric varieties  Mori theory
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