Picard-graded Betti numbers and the defining ideals of Cox rings

Laface, A; Velasco M.

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. © 2009 Elsevier Inc. All rights reserved.

Más información

Título según WOS: Picard-graded Betti numbers and the defining ideals of Cox rings
Título según SCOPUS: Picard-graded Betti numbers and the defining ideals of Cox rings
Título de la Revista: JOURNAL OF ALGEBRA
Volumen: 322
Número: 2
Editorial: ACADEMIC PRESS INC ELSEVIER SCIENCE
Fecha de publicación: 2009
Página de inicio: 353
Página final: 372
Idioma: English
URL: http://linkinghub.elsevier.com/retrieve/pii/S0021869309002245
DOI:

10.1016/j.jalgebra.2009.04.020

Notas: ISI, SCOPUS