The Semigroup of Betti Diagrams

Details The Semigroup of Betti Diagrams The Semigroup of Betti Diagrams

2008-06-26

arxiv.org/abs/0806.4401v2

Mathematics

Commutative Algebra

26 pages, 3 figures. Minor edits, references added

Scientific paper

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.

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