Monomial ideals with large projective dimension
Commutative Algebra
2017-10-17 v1
Abstract
Let S be a polynomial ring in n variables, over an arbitrary field. We give the total, graded, and multigraded Betti numbers of S/M, for every monomial ideal M in S. We also give an explicit characterization of all monomial ideals M in S for which the quotient S/M has projective dimension n.
Cite
@article{arxiv.1710.05124,
title = {Monomial ideals with large projective dimension},
author = {Guillermo Alesandroni},
journal= {arXiv preprint arXiv:1710.05124},
year = {2017}
}