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FastMinors package for Macaulay2

Boyana Martinova, Marcus Robinson, Karl Schwede and Yuhui Yao
Vol. 13 (2023), 13–31
DOI: 10.2140/jsag.2023.13.13
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
FastMinors, Macaulay2
Mathematical Subject Classification
Primary: 13D02, 14B05, 14H05, 15A15
Supplementary material

A Macaulay2 package for computations in function field linear algebra.
Milestones
Received: 24 November 2020
Revised: 2 August 2021
Accepted: 8 May 2023
Published: 28 August 2023
Authors
Boyana Martinova
Department of Mathematics
University of Wisconsin
Madison, WI
United States
Marcus Robinson
Department of Mathematics
Reed College
Portland, OR
United States
Karl Schwede
Department of Mathematics
The University of Utah
Salt Lake City, UT
United States
Yuhui Yao
Department of Mathematics
University of Chicago
Eckhart Hall
Chicago, IL
United States
© 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers).