The linear space of Betti diagrams of multigraded artinian modules

Details The linear space of Betti diagrams of multigraded artinian modules The linear space of Betti diagrams of multigraded artinian modules

2010-01-19

arxiv.org/abs/1001.3235v2

Mathematical Research Letters 17 (2010), no. 5, p. 943-958

Mathematics

Commutative Algebra

15 pages, some modifications and added material

Scientific paper

We study the linear space generated by the multigraded Betti diagrams of
Z^n-graded artinian modules of codimension n whose resolutions become pure of a
given type when taking total degrees. We show that the multigraded Betti
diagram of the equivariant resolution constructed by D.Eisenbud, J.Weyman, and
the author, and all its twists, form a basis for this linear space.

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