The linear space of Betti diagrams of multigraded artinian modules
Commutative Algebra
2016-09-30 v2
Abstract
We study the linear space generated by the multigraded Betti diagrams of Z^n-graded artinian modules of codimension n whose resolutions become pure of a given type when taking total degrees. We show that the multigraded Betti diagram of the equivariant resolution constructed by D.Eisenbud, J.Weyman, and the author, and all its twists, form a basis for this linear space.
Keywords
Cite
@article{arxiv.1001.3235,
title = {The linear space of Betti diagrams of multigraded artinian modules},
author = {Gunnar Floystad},
journal= {arXiv preprint arXiv:1001.3235},
year = {2016}
}
Comments
15 pages, some modifications and added material