The MatrixSchubert package for Macaulay2
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arXiv
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| Hauptverfasser: | , , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917102564147200 |
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| author | Almousa, Ayah Grate, Sean Huang, Daoji Klein, Patricia LaClair, Adam Luo, Yuyuan McDonough, Joseph |
| author_facet | Almousa, Ayah Grate, Sean Huang, Daoji Klein, Patricia LaClair, Adam Luo, Yuyuan McDonough, Joseph |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_07393 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The MatrixSchubert package for Macaulay2 Almousa, Ayah Grate, Sean Huang, Daoji Klein, Patricia LaClair, Adam Luo, Yuyuan McDonough, Joseph Algebraic Geometry Commutative Algebra Combinatorics 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. |
| title | The MatrixSchubert package for Macaulay2 |
| topic | Algebraic Geometry Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2312.07393 |