This package implements the multigraded BGG correspondence, as described, for instance, in Section 2.2 of the paper "Tate resolutions on toric varieties" by Brown-Erman. Applying the BGG functor to a module over a multigraded polynomial ring gives a differential E-module, rather than a complex of E-modules; this package therefore also implements differential modules. Highlights of the package include methods for building free resolutions of differential modules; implementations of the multigraded BGG functors; and a method for computing the strongly linear strand of the minimal free resolution of a module over a multigraded polynomial ring, in the sense of the paper "Linear strands of multigraded free resolutions" by Brown-Erman.
This documentation describes version 1.1 of MultigradedBGG.
The source code from which this documentation is derived is in the file MultigradedBGG.m2.
The object MultigradedBGG is a package.