The cone of Betti diagrams of bigraded artinian modules of codimension two

Details The cone of Betti diagrams of bigraded artinian modules of codimension two The cone of Betti diagrams of bigraded artinian modules of codimension two

2010-01-19

arxiv.org/abs/1001.3238v1

Mathematics

Commutative Algebra

15 pages

Scientific paper

10.1007/978-3-642-19492-4

We describe the positive cone generated by bigraded Betti diagrams of artinian modules of codimension two, whose resolutions become pure of a given type when taking total degrees. If the differences of these total degrees, p and q, are relatively prime, the extremal rays are parametrised by order ideals in N^2 contained in the region px + qy < (p-1)(q-1). We also consider some examples concerning artinian modules of codimension three.

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