On Betti numbers of complement of hyperplanes

DOI10.2977/PRIMS/1195185267zbMath0484.14004OpenAlexW2035295944MaRDI QIDQ1163602

Hiroaki Terao

Publication date: 1981

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195185267

zbMATH Keywords

arrangement of hyperplanesBetti numberPoincare polynomialcomplement of hyperplanesMoebius function on partial ordered set

Mathematics Subject Classification ID

Partial orders, general (06A06) Singularities in algebraic geometry (14B05) Classical real and complex (co)homology in algebraic geometry (14F25) Arithmetic functions; related numbers; inversion formulas (11A25) Configuration theorems in linear incidence geometry (51A20) Complex singularities (32Sxx)

Related Items (3)

Fiber-type arrangements and factorization properties ⋮ Free arrangements of hyperplanes and unitary reflection groups ⋮ Série de Poincaré-Koszul associée aux groupes de tresses pures

Cites Work

• Combinatorics and topology of complements of hyperplanes
• Generalized exponents of a free arrangement of hyperplanes and Shepherd- Todd-Brieskorn formula
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