Download this article
 Download this article For screen
For printing
Recent Issues
Volume 14, Issue 1
Volume 13, Issue 1
Volume 12, Issue 1
Volume 11, Issue 1
Volume 10, Issue 1
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 1
Volume 7, Issue 1
Volume 6, Issue 1
Volume 5, Issue 1
Volume 4, Issue 1
Volume 3, Issue 1
Volume 2, Issue 1
Volume 1, Issue 1
The Journal
About the Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1948-7916
Author Index
To Appear
Other MSP Journals
Computing multiplicity sequences

Justin Chen, Youngsu Kim and Jonathan Montaño

Vol. 14 (2024), 13–18

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 that were implemented for computing multiplicity sequences: one via the bivariate Hilbert polynomial, and the other via the technique of general elements.

multiplicity sequence, j-multiplicity
Mathematical Subject Classification
Primary: 13H15
Secondary: 13-04
Supplementary material

This package computes the multiplicity sequence of an ideal $I$ in a standard graded equidimensional ring over a field.

Received: 25 March 2021
Revised: 9 October 2023
Accepted: 31 October 2023
Published: 26 March 2024
Justin Chen
School of Mathematics
Georgia Institute of Technology
Atlanta, GA
United States
Youngsu Kim
Department of Mathematics California State University
San Bernardino, CA
United States
Jonathan Montaño
School of Mathematical and Statistical Sciences
Arizona State University
Tempe, AZ
United States