Flasque sheaves on posets and Cohen-Macaulay unions of regular varieties
The author tries to find new examples of Cohen-Macaulay rings among the coordinate rings of the unions of regular varieties. The method used in this article is to represent a ring as the section ring of a sheaf on a poset. In particular, section \(4\) is devoted to a class of new examples: the generalized face rings. The main result says that the generalized face ring of a simplicial complex K is Cohen-Macaulay if and only if K itself is Cohen-Macaulay.
scientific article; zbMATH DE number 4114767