Hilbert polynomial of a certain ladder-determinantal ideal
type: Item
instance of: scholarly article
title: Hilbert polynomial of a certain ladder-determinantal ideal
zbMATH Open document ID: 0781.13010
DOI: 10.1023/A:1022428731241
author: Devadatta M. Kulkarni
published in: Journal of Algebraic Combinatorics
publication date: 1993-10-13T00:00:00Z
review text: The author gives by combinatorial techniques (``lattice path counting'') an explicit polynomial expression for the Hilbert function of the ideal generated by the \(2\times 2\) minors of a ladder-type order of indeterminates in a corresponding polynomial ring. The restriction on \(2\times 2\) minors is essential. This also yields a constructive proof of the well-known hilbertianness of this determinantal ideal.
Mathematics Subject Classification ID: 13D40
Mathematics Subject Classification ID: 13C40
Mathematics Subject Classification ID: 05A10
Mathematics Subject Classification ID: 05A15
Mathematics Subject Classification ID: 05E99
zbMATH DE Number: 429053
zbMATH Keywords: Hilbert polynomial
zbMATH Keywords: ladder-determinantal ideal
zbMATH Keywords: lattice path counting
reviewed by: Manfred Herrmann
MaRDI profile type: Publication
cites work: Q4722195
cites work: Q4039722
cites work: On Hilbertian ideals
cites work: Determinantal loci and the flag variety
cites work: Q4273902
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description: scientific article; zbMATH DE number 429053