Computing multiplicity sequences
Commutative Algebra
2024-03-27 v3
Abstract
The MultiplicitySequence package for Macaulay2 computes the multiplicity sequence of a graded ideal in a standard graded ring over a field, as well as several invariants of monomial ideals related to integral dependence. We discuss two strategies implemented for computing multiplicity sequences: one via the bivariate Hilbert polynomial, and the other via the technique of general elements.
Cite
@article{arxiv.2103.14175,
title = {Computing multiplicity sequences},
author = {Justin Chen and Youngsu Kim and Jonathan Montaño},
journal= {arXiv preprint arXiv:2103.14175},
year = {2024}
}
Comments
6 pages