Picard-graded Betti numbers and the defining ideals of Cox rings
Picard-graded Betti numbers and the defining ideals of Cox rings
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DOI：
10.1016/j.jalgebra.2009.04.020
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发表时间：
2007-07
期刊：
影响因子：
--
通讯作者：
A. Laface;Mauricio Velasco
中科院分区：
文献类型：
--
作者：
A. Laface;Mauricio Velasco
引入了向量空间的复形，其同调决定了Mori梦空间的考克斯环的Picard分次Betti数.作为这个建设的应用，我们证明了一个猜想的Batyrev和波波夫描述介绍的考克斯环的Del Pezzo表面的程度至少为2。
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.