Rational combinations of Betti diagrams of complete intersections

Abstract

We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij-Söderberg theory. That is, given a Betti diagram, we determine if it is possible to decompose it into the Betti diagrams of complete intersections. To do so, we determine the extremal rays of the cone generated by the diagrams of complete intersections and provide a rudimentary algorithm for decomposition.

This research was conducted at the Willamette Mathematics Consortium REU

Cited by in corpus (2)

• Recursive strategy for decomposing Betti tables of complete intersections
• Syzygies of ${\mathbb{P}}^1\times {\mathbb{P}}^1$: data and conjectures