Cohomology of Local Sheaves on Arrangement Lattices

DOI10.2307/2048675zbMath0758.32014OpenAlexW4231170929MaRDI QIDQ3974531

Sergey Yuzvinsky

Publication date: 25 June 1992

Full work available at URL: https://doi.org/10.2307/2048675

zbMATH Keywords

arrangements of hyperplanescohomology of sheavesintersection lattice

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35) Global theory of complex singularities; cohomological properties (32S20) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

Related Items

Free arrangements and relation spaces, The algebra of glued polynomials on an arrangement of hyperplanes, Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting), Deletion-restriction for sheaf homology of graded atomic lattices, Free and Locally Free Arrangements with a Given Intersection Lattice, On Yuzvinsky's lattice sheaf cohomology for hyperplane arrangements, A homological characterization for freeness of multi-arrangements, Freeness of hyperplane arrangements and related topics, Derivation modules of orthogonal duals of hyperplane arrangements, The First Two Obstructions to the Freeness of Arrangements, Sheaf homology of hyperplane arrangements, Boolean covers and exterior powers, De Rham cohomology of logarithmic forms on arrangements of hyperplanes

Cites Work

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• A formula for the characteristic polynomial of an arrangement
• A free resolution of the module of derivations for generic arrangements
• A free resolution of the module of logarithmic forms of a generic arrangement
• Cohen-Macaulay seminormalizations of unions of linear subspaces
• Free arrangements of hyperplanes over an arbitrary field
• Free arrangements of hyperplanes and unitary reflection groups
• Whitney numbers of geometric lattices
• Algebraic De Rham cohomology
• Supersolvable lattices
• Matroid Representations and free Arrangements