Propagating weights of tori along free resolutions
Commutative Algebra
2017-08-24 v2 Representation Theory
Abstract
The action of a torus on a graded module over a polynomial ring extends to the entire minimal free resolution of the module. We explain how to determine the action of the torus on the free modules in the resolution, when the resolution can be calculated explicitly. The problem is reduced to analyzing how the weights of a torus propagate along an equivariant map of free modules. The results obtained are used to design algorithms which have been implemented in the software system Macaulay2.
Cite
@article{arxiv.1406.1900,
title = {Propagating weights of tori along free resolutions},
author = {Federico Galetto},
journal= {arXiv preprint arXiv:1406.1900},
year = {2017}
}
Comments
Includes various corrections, a new introductory example and examples for the algorithms