Determinantal schemes and pure O-sequences

DOI10.1016/j.jpaa.2014.12.026zbMath1320.13016arXiv1403.1172OpenAlexW2050617701MaRDI QIDQ2349931

Matey Mateev, Alexandru Constantinescu

Publication date: 18 June 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.1172

zbMATH Keywords

determinantal idealsHilbert seriespure O-sequences

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Combinatorics of partially ordered sets (06A07) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Combinatorial aspects of commutative algebra (05E40)

Related Items (1)

Log-concave Gorenstein sequences

Uses Software

• CoCoA
• polymake

Cites Work

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• What can be said about pure O-sequences?
• Determinantal rings
• Hilbert functions of ladder determinantal varieties
• Hilbert functions of irreducible arithmetically Gorenstein schemes.
• Young multitableaux and higher dimensional determinants
• Log-concavity of characteristic polynomials and the Bergman fan of matroids
• Generalized divisors and biliaison
• Determinantal ideals
• Gorenstein liaison, complete intersection liaison invariants and unobstructedness
• Generic and special constructions of pure O -sequences
• Ideals defined by matrices and a certain complex associated with them
• h-Vectors of Matroid Complexes
• On the Hilbert Function of Determinantal Rings and Their Canonical Module
• Lectures on Polytopes
• On the shape of a pure 𝑂-sequence

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