Dimensions of Betti Cones on Edge Ideals
Commutative Algebra
2022-02-21 v2
Abstract
Boij-S\"{o}derberg Theory views the Betti diagrams of graded modules over polynomial rings as vectors in a rational vector space, and studies the cone that these vectors generate (called a 'Betti Cone'). The objects of study in this paper are the Betti cones generated by edge ideals; in particular this paper will present and prove a formula for the dimensions of these cones, and for the subcones generated by edge ideals of specific heights.
Keywords
Cite
@article{arxiv.2104.10988,
title = {Dimensions of Betti Cones on Edge Ideals},
author = {David Carey},
journal= {arXiv preprint arXiv:2104.10988},
year = {2022}
}
Comments
23 pages, 0 figures, 1 table (Replacement article, after small-scale edits)