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The multigraded BGG
correspondence in Macaulay2
Maya Banks, Michael K. Brown, Tara Gomes, Prashanth Sridhar, Eduardo Torres Davila and Sasha Zotine |
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Vol. 15 (2025), 57–68
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Abstract |
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We give an overview of a Macaulay2 package for computing with the multigraded BGG correspondence. This software builds on the package BGG due to Abo-Decker-Eisenbud-Schreyer-Smith-Stillman, which concerns the standard graded BGG correspondence. In addition to implementing the multigraded BGG functors, this package includes an implementation of differential modules and their minimal free resolutions, and it contains a method for computing strongly linear strands of multigraded free resolutions. |
Keywords
differential module, exterior algebra, linear strand,
multigrading, sheaf cohomology, toric variety
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Mathematical Subject Classification
Primary: 13D02
Secondary: 14M25
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Supplementary material |
Milestones
Received: 19 February 2024
Revised: 11 April 2025
Accepted: 2 June 2025
Published: 4 June 2025
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Authors |
| Maya Banks | |
| Department of Mathematics University of Wisconsin Madison, WI 53706 United States |
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| Michael K. Brown | |
| Department of Mathematics and
Statistics Auburn University Auburn, AL 36849 United States |
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| Tara Gomes | |
| School of Mathematics University of Minnesota Minneapolis, MN 55455 United States |
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| Prashanth Sridhar | |
| Department of Mathematics and
Statistics Auburn University Auburn, AL 36849 United States |
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| Eduardo Torres Davila | |
| School of Mathematics University of Minnesota Minneapolis, MN 55455 United States |
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| Sasha Zotine | |
| Department of Mathematics and
Statistics McMaster University Hamilton, ON L8S 4L8 Canada |
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| © 2025 MSP (Mathematical Sciences Publishers). |
