Hilbert polynomials and geometric lattices

DOI10.1016/0001-8708(90)90045-OzbMath0758.06006OpenAlexW1980053136MaRDI QIDQ1173875

Hiroaki Terao, Lauren L. Rose

Publication date: 25 June 1992

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(90)90045-o

zbMATH Keywords

Hilbert polynomialscombinatorial propertiesfinite geometric latticefinitely generated graded \(S\)-modules

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Semimodular lattices, geometric lattices (06C10)

Related Items

The characteristic polynomial of a multiarrangement ⋮ On the Poincaré series of the Milnor algebra of arrangements ⋮ Free and Locally Free Arrangements with a Given Intersection Lattice ⋮ A dimension series for multivariate splines

Cites Work

• A formula for the characteristic polynomial of an arrangement
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
• A dimension series for multivariate splines
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
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