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arXiv · 2302.12473

SubalgebraBases in Macaulay2

Michael Burr·Oliver Clarke·Timothy Duff·Jackson Leaman·Nathan Nichols·Elise Walker
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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.

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Michael Burr, Oliver Clarke, Timothy Duff, Jackson Leaman, Nathan Nichols, Elise Walker. 2023-02-24. SubalgebraBases in Macaulay2. https://doi.org/10.2140/jsag.2024.14.97

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