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Finding points on
varieties with Macaulay2
Sankhaneel Bisui, Zhan Jiang, Sarasij Maitra, Thái Thành Nguyễn and Karl Schwede |
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Vol. 13 (2023), 33–43
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Abstract |
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We present RandomPoints, a package in Macaulay2 designed mainly to identify rational and geometric points in a variety over a finite field. We provide tools to estimate the dimension of a variety. We also present methods to obtain nonvanishing minors of a given size in a given matrix, by evaluating the matrix at a point. |
Keywords
RandomPoints, Macaulay2
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Mathematical Subject Classification
Primary: 13C99, 14G05
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Supplementary materialMacaulay2 package to find a point in a given variety over a finite field. |
Milestones
Received: 8 February 2021
Revised: 18 August 2021
Accepted: 8 May 2023
Published: 28 August 2023
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Authors |
| Sankhaneel Bisui | |
| Department of Mathematics The University of Manitoba Winnipeg MB Canada |
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| Zhan Jiang | |
| Department of Mathematics The University of Michigan Ann Arbor MI United States |
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| Sarasij Maitra | |
| Department of Mathematics The University of Utah Salt Lake City UT United States |
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| Thái Thành Nguyễn | |
| Department of Mathematics McMaster University Hamilton ON Canada |
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| Karl Schwede | |
| Department of Mathematics The University of Utah Salt Lake City UT United States |
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| © 2023 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
