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arXiv · 1212.3426

Generic and special constructions of pure O-sequences

Alexandru Constantinescu·Thomas Kahle·Matteo Varbaro
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Abstract

It is shown that the h-vectors of Stanley-Reisner rings of three classes of matroids are pure O-sequences. The classes are (a) matroids that are truncations of other matroids, or more generally of Cohen-Macaulay complexes, (b) matroids whose dual is (rank + 2)-partite, and (c) matroids of Cohen-Macaulay type at most five. Consequences for the computational search for a counterexample to a conjecture of Stanley are discussed.

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Alexandru Constantinescu, Thomas Kahle, Matteo Varbaro. 2014-05-09. Generic and special constructions of pure O-sequences. https://doi.org/10.1112/blms%2Fbdu047

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