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