The MatrixSchubert package for Macaulay2

Authors

• Ayah Almousa, University of KentuckyFollow
• Sean Grate, Auburn UniversityFollow
• Daoji Huang, Institute for Advanced StudyFollow
• Patricia Klein, Texas AandM UniversityFollow
• Adam Laclair, Purdue UniversityFollow
• Yuyuan Luo, Princeton UniversityFollow
• Joseph McDonough, University of MinnesotaFollow

Abstract

We introduce the MatrixSchubert package for the computer algebra system Macaulay2. This package has tools to construct and study matrix Schubert varieties and alternating sign matrix (ASM) varieties. The package also introduces tools for quickly computing homological invariants of such varieties, finding the components of an ASM variety, and checking if a union of matrix Schubert varieties is an ASM variety.

Document Type

Article

Publication Date

1-1-2025

Notes/Citation Information

Publisher Copyright: © 2025 COPYRIGHT INFORMATION WILL GO HERE.

Digital Object Identifier (DOI)

10.2140/jsag.2025.15.41

Archival?

Archival

Repository Citation

Almousa, Ayah; Grate, Sean; Huang, Daoji; Klein, Patricia; Laclair, Adam; Luo, Yuyuan; and McDonough, Joseph, "The MatrixSchubert package for Macaulay2" (2025). Mathematics Faculty Publications. 67.
https://uknowledge.uky.edu/math_facpub/67