The MatrixSchubert package for Macaulay2

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.

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Publication Details

Journal
Journal of Software for Algebra and Geometry
Published
2025-05-20
DOI
https://doi.org/10.2140/jsag.2025.15.41
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00

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The MatrixSchubert package for Macaulay2

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article en

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.

Journal of Software for Algebra and GeometryVol. 15(1)
University of Minnesota (US), University of South Carolina (US), Princeton University (US), Purdue University West Lafayette (US), Institute for Advanced Study (US), Twin Cities Orthopedics (US), Auburn University (US), Texas A&M University (US)
National Science Foundation, University of Minnesota
Openalex Percentile: Top 88%
Polynomial and algebraic computation
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