Factorially graded rings and Cox rings

JOURNAL OF ALGEBRA

卷:369

Article

Bechtold, Benjamin

关键词: Commutative algebra;    Algebraic geometry;    Graded rings;    Unique factorization;    Cox rings;   

DOI  :  10.1016/j.jalgebra.2012.07.030

来源: Elsevier

【 摘 要 】

Cox rings of normal prevarieties are factorially graded, i.e. homogeneous elements allow a unique decomposition into homogeneous factors. We study this property from an algebraic point of view and give a criterion which in a sense reduces it to factoriality. This will allow us to detect and construct Cox rings in a purely algebraic manner. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free