The Semigroup of Betti Diagrams
Commutative Algebra
2012-07-25 v2 Algebraic Geometry
Abstract
The recent proof of the Boij-Soederberg conjectures reveals new structure about Betti diagrams of modules, giving a complete description of the cone of Betti diagrams. We begin to expand on this new structure by investigating the semigroup of Betti diagrams. We prove that this semigroup is finitely generated, and we answer several other fundamental questions about this semigroup.
Keywords
Cite
@article{arxiv.0806.4401,
title = {The Semigroup of Betti Diagrams},
author = {Daniel Erman},
journal= {arXiv preprint arXiv:0806.4401},
year = {2012}
}
Comments
26 pages, 3 figures. Minor edits, references added