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.

20 pages, 7 figures

References in corpus (3)

• Existence of minimal models for varieties of log general type
• Sagbi Bases of Cox-Nagata Rings
• Picard-graded Betti numbers and the defining ideals of Cox rings