English

FastMinors package for Macaulay2

Commutative Algebra 2023-08-30 v3 Algebraic Geometry

Abstract

In this article, we present FastMinors.m2, a package in Macaulay2 designed to introduce new methods focused on computations in function field linear algebra. Some key functionality that our package offers includes: finding a submatrix of a given rank in a provided matrix (when present), verifying that a ring is regular in codimension n, recursively computing the ideals of minors in a matrix, and finding an upper bound of the projective dimension of a module.

Keywords

Cite

@article{arxiv.2002.05758,
  title  = {FastMinors package for Macaulay2},
  author = {Boyana Martinova and Marcus Robinson and Karl Schwede and Yuhui Yao},
  journal= {arXiv preprint arXiv:2002.05758},
  year   = {2023}
}

Comments

Package title changed. 18 pages. New sections on limits of the package have been added. The lastest version of the package is avaiable at https://github.com/kschwede/M2/blob/master/M2/Macaulay2/packages/FastMinors.m2

R2 v1 2026-06-23T13:41:21.636Z