Generic and special constructions of pure O-sequences

A Constantinescu, T Kahle… - Bulletin of the London …, 2014 - academic.oup.com
It is shown that the-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 …

[HTML][HTML] Determinantal schemes and pure O-sequences

A Constantinescu, M Mateev - Journal of Pure and Applied Algebra, 2015 - Elsevier
We prove that if a standard determinantal scheme is level, then its h-vector is a log-concave
pure O-sequence, and conjecture that the converse also holds. Among other cases, we …