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2009 The semigroup of Betti diagrams
Daniel Erman
Algebra Number Theory 3(3): 341-365 (2009). DOI: 10.2140/ant.2009.3.341

Abstract

The recent proof of the Boij–Söderberg 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 such diagrams. We prove that this semigroup is finitely generated, and answer several other fundamental questions about it.

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Daniel Erman. "The semigroup of Betti diagrams." Algebra Number Theory 3 (3) 341 - 365, 2009. https://doi.org/10.2140/ant.2009.3.341

Information

Received: 9 November 2008; Revised: 22 January 2009; Accepted: 20 February 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1173.13013
MathSciNet: MR2525554
Digital Object Identifier: 10.2140/ant.2009.3.341

Subjects:
Primary: 13D02
Secondary: 13D25

Rights: Copyright © 2009 Mathematical Sciences Publishers

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Vol.3 • No. 3 • 2009
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