Article ID Journal Published Year Pages File Type
4587591 Journal of Algebra 2009 20 Pages PDF
Abstract

We introduce a complex of vector spaces whose homology determines the Picard-graded Betti numbers of the Cox ring of a Mori Dream Space. As an application of this construction we prove a conjecture of Batyrev and Popov which describes presentations for the Cox rings of Del Pezzo surfaces of degree at least two.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory