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SubalgebraBases in
Macaulay2
Michael Burr, Oliver Clarke, Timothy Duff, Jackson Leaman, Nathan Nichols and Elise Walker |
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Vol. 14 (2024), 97–109
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Abstract |
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We describe a recently revived version of the software package SubalgebraBases, which is distributed in the Macaulay2 computer algebra system. The package allows the user to compute and manipulate subalgebra 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 the SubalgebraBases package and demonstrate how the package works on several motivating examples. |
Keywords
SAGBI basis, Newton–Okounkov body, computer algebra,
Macaulay2, symbolic computation
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Mathematical Subject Classification
Primary: 14-04, 68W30
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Supplementary materialA package for finding canonical subalgebra bases (SAGBI bases). |
Milestones
Received: 23 February 2023
Revised: 12 March 2024
Accepted: 18 March 2024
Published: 31 May 2024
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Authors |
| Michael Burr | |
| Clemson University Clemson, SC United States |
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| Oliver Clarke | |
| University of Edinburgh Edinburgh United Kingdom |
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| Timothy Duff | |
| Department of Mathematics University of Washington Seattle, WA United States |
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| Jackson Leaman | |
| Clemson University Clemson, SC United States |
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| Nathan Nichols | |
| Department of Mathematics and
Statistical Sciences Marquette University Milwaukee, WI United States |
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| Elise Walker | |
| Center for Computing Research Sandia National Laboratories Albuquerque, NM United States |
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| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
