English

The MatrixSchubert package for Macaulay2

Algebraic Geometry 2025-11-26 v2 Commutative Algebra Combinatorics

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.

Keywords

Cite

@article{arxiv.2312.07393,
  title  = {The MatrixSchubert package for Macaulay2},
  author = {Ayah Almousa and Sean Grate and Daoji Huang and Patricia Klein and Adam LaClair and Yuyuan Luo and Joseph McDonough},
  journal= {arXiv preprint arXiv:2312.07393},
  year   = {2025}
}

Comments

Accompanying the package MatrixSchubert, to be included in version 1.22 of the software system Macaulay2

R2 v1 2026-06-28T13:48:34.185Z