Combinatorics and topology of the situation of affine hyperplanes in real space

DOI10.1007/BF01077981zbMath0626.52003OpenAlexW2069383673MaRDI QIDQ580717

Alexander Varchenko

Publication date: 1987

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077981

zbMATH Keywords

convex polyhedronaffine hyperplanes in real space

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Polytopes and polyhedra (52Bxx)

Related Items

Polyhedral omega: a new algorithm for solving linear Diophantine systems ⋮ Fourier-Sato Transform on Hyperplane Arrangements ⋮ Exact Euler-Maclaurin formulas for simple lattice polytopes ⋮ New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes ⋮ Wall crossings for double Hurwitz numbers ⋮ Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones. ⋮ The chamber basis of the Orlik-Solomon algebra and Aomoto complex

Cites Work

• Poisson symmetry algebras and the asymptotics of spectral series
• Geometry in Grassmannians and a generalization of the dilogarithm
• Unnamed Item