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Rational combinations of Betti diagrams of complete intersections

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arxiv 1507.08354 v3 pith:D5I6EBCW submitted 2015-07-30 math.AC

Rational combinations of Betti diagrams of complete intersections

Michael T. Annunziata , Courtney R. Gibbons , Cole Hawkins , Alexander J. Sutherland This is my paper
classification math.AC
keywords bettidiagramscompleteintersectionsdeterminealgorithmboij-scombinations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate decompositions of Betti diagrams over a polynomial ring within the framework of Boij-S\"oderberg theory. That is, given a Betti diagram, we determine if it is possible to decompose it into the Betti diagrams of complete intersections. To do so, we determine the extremal rays of the cone generated by the diagrams of complete intersections and provide a rudimentary algorithm for decomposition.

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