Cohen-Macaulay Monomial Ideals of Codimension 2
Commutative Algebra
2008-04-04 v1
Abstract
We give a structure theorem for Cohen Macaulay monomial ideals of codimension 2, and describe all possible relation matrices of such ideals. In case that the ideal has a linear resolution, the relation matrices can be identified with the spanning trees of a connected chordal graph with the property that each distinct pair of maximal cliques of the graph has at most one vertex in common.
Cite
@article{arxiv.0804.0475,
title = {Cohen-Macaulay Monomial Ideals of Codimension 2},
author = {Muhammad Naeem},
journal= {arXiv preprint arXiv:0804.0475},
year = {2008}
}