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arXiv · 2402.12293

The multigraded BGG correspondence in Macaulay2

Maya Banks·Michael K. Brown·Tara Gomes·Prashanth Sridhar·Eduardo Torres Davila·Sasha Zotine
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Abstract

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.

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Maya Banks, Michael K. Brown, Tara Gomes, Prashanth Sridhar, Eduardo Torres Davila, Sasha Zotine. 2024-02-19. The multigraded BGG correspondence in Macaulay2. https://doi.org/10.2140/jsag.2025.15.57

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