Cohomology of Local Sheaves on Arrangement Lattices
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Publication:3974531
DOI10.2307/2048675zbMath0758.32014OpenAlexW4231170929MaRDI QIDQ3974531
Publication date: 25 June 1992
Full work available at URL: https://doi.org/10.2307/2048675
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)
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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
