Article ID Journal Published Year Pages File Type
4595913 Journal of Pure and Applied Algebra 2015 16 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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