SubalgebraBases in Macaulay2
Commutative Algebra
2024-06-05 v2 Mathematical Software
Abstract
We describe a recently revived version of the software package SubalgberaBases, which is distributed in the Macaulay2 computer algebra system. The package allows the user to compute and manipulate subagebra bases -- which are also known as SAGBI bases or canonical bases and form a special class of Khovanskii bases -- for polynomial rings and their quotients. We provide an overview of the design and functionality of SubalgberaBases and demonstrate how the package works on several motivating examples.
Keywords
Cite
@article{arxiv.2302.12473,
title = {SubalgebraBases in Macaulay2},
author = {Michael Burr and Oliver Clarke and Timothy Duff and Jackson Leaman and Nathan Nichols and Elise Walker},
journal= {arXiv preprint arXiv:2302.12473},
year = {2024}
}
Comments
Revised version. 11 pages w/ refs. Ancillary file "accompanyingCode.m2" available on arXiv