The multigraded BGG correspondence in Macaulay2
Commutative Algebra
2025-11-26 v2
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.
Keywords
Cite
@article{arxiv.2402.12293,
title = {The multigraded BGG correspondence in Macaulay2},
author = {Maya Banks and Michael K. Brown and Tara Gomes and Prashanth Sridhar and Eduardo Torres Davila and Sasha Zotine},
journal= {arXiv preprint arXiv:2402.12293},
year = {2025}
}
Comments
Package available at https://github.com/mkbrown5/MultigradedBGG/tree/main