Subspace arrangements over finite fields: Cohomological and enumerative aspects

DOI10.1006/aima.1997.1647zbMath0896.52021OpenAlexW2040817923MaRDI QIDQ1364917

Torsten Ekedahl, Anders Bjoerner

Publication date: 21 September 1998

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

Full work available at URL: https://doi.org/10.1006/aima.1997.1647

zbMATH Keywords

cohomologyfinite fieldarrangementFrobenius automorphism

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Varieties over finite and local fields (11G25) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items

Rational points and cohomology of discriminant varieties, Whitney Numbers of Combinatorial Geometries and Higher-Weight Dowling Lattices, Representation stability for families of linear subspace arrangements, Étale cohomology, purity and formality with torsion coefficients, The geometry of geometries: matroid theory, old and new, Modifications of hyperplane arrangements, Vertex-weighted digraphs and freeness of arrangements between Shi and Ish, Leray Spectral Sequence for Complements of Certain Arrangements of Smooth Submanifolds, Extended linial hyperplane arrangements for root systems and a conjecture of Postnikov and Stanley, Periodicity of hyperplane arrangements with integral coefficients modulo positive integers, Orientations, lattice polytopes, and group arrangements I: Chromatic and tension polynomials of graphs, Zero-sum-free tuples and hyperplane arrangements, Characteristic polynomials, Ehrhart quasi-polynomials, and torus groups., Arrangements of symmetric products of spaces, Combinatorially equivalent hyperplane arrangements, Coincidences between homological densities, predicted by arithmetic, On characteristic polynomials of subspace arrangements, An equivalent formulation of chromatic quasi-polynomials, Local cohomology, arrangements of subspaces and monomial ideals., A spectral sequence for stratified spaces and configuration spaces of points

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(\mathbb{N}\)-rationality of zeta functions
• La conjecture de Weil. II
• Positive rational sequences
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• General lexicographic shellability and orbit arrangements
• Homotopy types of subspace arrangements via diagrams of spaces
• Subspace arrangements of type \(B_ n\) and \(D_ n\)
• The homology of ``\(k\)-equal manifolds and related partition lattices
• La conjecture de Weil. I
• Combinatorics and commutative algebra.
• An étale analog of the Goresky-MacPherson formula for subspace arrangements
• Théorie de Hodge. II. (Hodge theory. II)
• Théorie de Hodge. III
• Characteristic polynomials of subspace arrangements and finite fields
• The l Adic Cohomology of Hyperplane Complements
• Weights in Cohomology Groups Arising from Hyperplane Arrangements
• Linear Decision Trees, Subspace Arrangements, and Mobius Functions
• Shellable Nonpure Complexes and Posets. I
• On the Rationality of the Zeta Function of an Algebraic Variety
• Number of Points of Varieties in Finite Fields