Monomial multiplicities in explicit form
Commutative Algebra
2019-01-29 v3
Abstract
In this article we give explicit descriptions of the multiplicities of some classes of monomial ideals. For instance, we give a formula for the multiplicities of all codimension 1 monomial ideals, and another formula for the multiplicities of almost complete intersections. We also introduce a new class of ideals that extends the family of monomial complete intersections, and give a formula for their multiplicity, as well as a visual interpretation of this invariant.
Cite
@article{arxiv.1901.03291,
title = {Monomial multiplicities in explicit form},
author = {Guillermo Alesandroni},
journal= {arXiv preprint arXiv:1901.03291},
year = {2019}
}