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arXiv · 1708.05440

Recursive strategy for decomposing Betti tables of complete intersections

Courtney R. Gibbons·Robert Huben·Branden Stone
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Abstract

We introduce a recursive decomposition algorithm for the Betti diagram of a complete intersection using the diagram of a complete intersection defined by a subset of the original generators. This alternative algorithm is the main tool that we use to investigate stability and compatibility of the Boij-Soederberg decompositions of related diagrams; indeed, when the biggest generating degree is sufficiently large, the alternative algorithm produces the Boij-Soederberg decomposition. We also provide a detailed analysis of the Boij-Soederberg decomposition for Betti diagrams of codimension four complete intersections where the largest generating degree satisfies the size condition.

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Courtney R. Gibbons, Robert Huben, Branden Stone. 2017-08-17. Recursive strategy for decomposing Betti tables of complete intersections. https://doi.org/10.1142/s0218196719500450

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