Factorially graded rings and Cox rings
Algebraic Geometry
2012-01-19 v1 Commutative Algebra
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.
Cite
@article{arxiv.1201.3773,
title = {Factorially graded rings and Cox rings},
author = {Benjamin Bechtold},
journal= {arXiv preprint arXiv:1201.3773},
year = {2012}
}