Dimensions of Betti Cones on Edge Ideals

Abstract

Boij-Söderberg 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.

arXiv comment23 pages, 0 figures, 1 table (Replacement article, after small-scale edits)