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 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 5. Consequences for the computational search for a counterexample to a conjecture of Stanley are discussed.
Generic and special constructions of pure O-sequences
Constantinescu, A;Varbaro, M
2014-01-01
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 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 5. Consequences for the computational search for a counterexample to a conjecture of Stanley are discussed.File in questo prodotto:
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