Determinantal Schemes and Pure O-sequences
Commutative Algebra
2014-03-06 v1 Algebraic Geometry
Abstract
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 prove the conjecture in codimension two, or when the entries of the corresponding degree matrix are positive. We also find formulae for the h-vector in terms of the degree matrix.
Keywords
Cite
@article{arxiv.1403.1172,
title = {Determinantal Schemes and Pure O-sequences},
author = {Alexandru Constantinescu and Matey Mateev},
journal= {arXiv preprint arXiv:1403.1172},
year = {2014}
}
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12 pages