%0 Journal Article
%T Factorially graded rings and Cox rings
%A Benjamin Bechtold
%J Mathematics
%D 2012
%I arXiv
%X 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.
%U http://arxiv.org/abs/1201.3773v1