(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.