Weights in Cohomology Groups Arising from Hyperplane Arrangements

DOI10.2307/2160458zbMath0816.14008OpenAlexW4234805651MaRDI QIDQ4290789

Minhyong Kim

Publication date: 10 July 1995

Full work available at URL: https://doi.org/10.2307/2160458

zbMATH Keywords

weightsmixed Hodge structurecohomology of the complement of a union of hyperplanes

Mathematics Subject Classification ID

Special varieties (14M99) Étale and other Grothendieck topologies and (co)homologies (14F20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Hypersurfaces and algebraic geometry (14J70)

Related Items

Tate properties, polynomial-count varieties, and monodromy of hyperplane arrangements ⋮ Boundary manifolds of projective hypersurfaces ⋮ Subspace arrangements over finite fields: Cohomological and enumerative aspects ⋮ Brown's moduli spaces of curves and the gravity operad ⋮ Betti and Hodge numbers of configuration spaces of a punctured elliptic curve from its zeta functions ⋮ A geometric approach to counting norms in cyclic extensions of function fields ⋮ Configurations of noncollinear points in the projective plane ⋮ Counting SET-free sets ⋮ Minimal models, GT-action and formality of the little disk operad ⋮ Factorization statistics and bug-eyed configuration spaces ⋮ Homotopy transfer and formality

Cites Work

• Transformation groups
• Combinatorics and topology of complements of hyperplanes
• On poincaré polynomials for hyperplane arrangements in positive characteristic
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