Cohen-Macaulay types of certain edge subrings of bipartite graphs and (generalized) Fuss-Catalan numbers
arXiv:2401.15446 · doi:10.1007/s10013-023-00645-z
Abstract
We give an example of two non isomorphic coordinate rings of a special kind of convex polyominoes whose Cohen-Macaulay types are generalized Fuss-Catalan numbers. We further provide a determinantal formula for these numbers.
9 pages, 1 figure, will appear in Vietnam Journal of Mathematics