English

Brackets and Projective Geometry in Macaulay2

Algebraic Geometry 2025-04-02 v1 Symbolic Computation

Abstract

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.

Keywords

Cite

@article{arxiv.2504.00889,
  title  = {Brackets and Projective Geometry in Macaulay2},
  author = {Dalton Bidleman and Timothy Duff and Jack Kendrick and Michael Zeng},
  journal= {arXiv preprint arXiv:2504.00889},
  year   = {2025}
}

Comments

9 pages

R2 v1 2026-06-28T22:42:33.915Z