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arXiv · 1201.3773

Factorially graded rings and Cox rings

Benjamin Bechtold
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Abstract

Cox rings of normal varieties 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.

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Benjamin Bechtold. 2012-01-18. Factorially graded rings and Cox rings. https://arxiv.org/abs/1201.3773

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