Rational combinations of Betti diagrams of complete intersections
Commutative Algebra
2017-04-20 v3
Abstract
We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij-S\"oderberg 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.
Keywords
Cite
@article{arxiv.1507.08354,
title = {Rational combinations of Betti diagrams of complete intersections},
author = {Michael T. Annunziata and Courtney R. Gibbons and Cole Hawkins and Alexander J. Sutherland},
journal= {arXiv preprint arXiv:1507.08354},
year = {2017}
}
Comments
This research was conducted at the Willamette Mathematics Consortium REU