Brackets and Projective Geometry in Macaulay2
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915222258712576 |
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| author | Bidleman, Dalton Duff, Timothy Kendrick, Jack Zeng, Michael |
| author_facet | Bidleman, Dalton Duff, Timothy Kendrick, Jack Zeng, Michael |
| contents | We introduce the Brackets package for the computer algebra system Macaulay2, which provides convenient syntax for computations involving the classical invariants of the special linear group. We describe our implementation of bracket rings and Grassmann-Cayley algebras, and illustrate basic functionality such as the straightening algorithm on examples from projective and enumerative geometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00889 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Brackets and Projective Geometry in Macaulay2 Bidleman, Dalton Duff, Timothy Kendrick, Jack Zeng, Michael Algebraic Geometry Symbolic Computation 14-04 We introduce the Brackets package for the computer algebra system Macaulay2, which provides convenient syntax for computations involving the classical invariants of the special linear group. We describe our implementation of bracket rings and Grassmann-Cayley algebras, and illustrate basic functionality such as the straightening algorithm on examples from projective and enumerative geometry. |
| title | Brackets and Projective Geometry in Macaulay2 |
| topic | Algebraic Geometry Symbolic Computation 14-04 |
| url | https://arxiv.org/abs/2504.00889 |