منابع مشابه
The Semigroup of Betti Diagrams
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 Betti diagrams. We prove that this semigroup is finitely generated, and we answer several other fundamental questions about this semigroup.
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15 صفحه اولNon-simplicial Decompositions of Betti Diagrams of Complete Intersections
We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij–Söderberg theory. That is, given a Betti diagram, we decompose it into pure diagrams. Relaxing the requirement that the degree sequences in such pure diagrams be totally ordered, we are able to define a multiplication law for Betti diagrams that respects the decomposition and allows us to write a...
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ژورنال
عنوان ژورنال: Algebra & Number Theory
سال: 2009
ISSN: 1937-0652
DOI: 10.2140/ant.2009.3.341