Faces of a hyperplane arrangement enumerated by ideal dimension, with application to plane, plaids, and Shi

DOI10.1023/A:1024029318990zbMath1041.52021OpenAlexW221320767MaRDI QIDQ1397916

Thomas Zaslavsky

Publication date: 6 August 2003

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1024029318990

zbMATH Keywords

arrangement of hyperplanescharacteristic polynomialaffinographic arrangementface countadditive real gain graphextended Catalan arrangementextended Linial arrangementextended Shi arrangementgeometric semilatticegraphic lift matroidideal dimensionplaid arrangementWhitney-number polynomial

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35) Signed and weighted graphs (05C22)

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Enumeration of connected Catalan objects by type ⋮ On the Varchenko determinant formula for oriented braid arrangements

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