Free and Locally Free Arrangements with a Given Intersection Lattice
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Publication:4201603
DOI10.2307/2160116zbMath0797.52009OpenAlexW4243938730MaRDI QIDQ4201603
Publication date: 1 September 1993
Full work available at URL: https://doi.org/10.2307/2160116
arrangements of hyperplanesHilbert coefficientsTerao's conjecturesheafintersection latticelocally free arrangement
Singularities in algebraic geometry (14B05) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35)
Related Items (14)
Non-recursive freeness and non-rigidity ⋮ Derivations of an effective divisor on the complex projective line ⋮ Logarithmic vector fields and freeness of divisors and arrangements: new perspectives and applications. Abstracts from the workshop held January 24--30, 2021 (online meeting) ⋮ Free multiplicities on the moduli of \(X_{3}\) ⋮ The characteristic polynomial of a multiarrangement ⋮ Free arrangements and rhombic tilings ⋮ A greedy algorithm to compute arrangements of lines in the projective plane ⋮ Not all free arrangements are 𝐾(𝜋,1) ⋮ On Yuzvinsky's lattice sheaf cohomology for hyperplane arrangements ⋮ A homological characterization for freeness of multi-arrangements ⋮ Numerical invariants and moduli spaces for line arrangements ⋮ Freeness of hyperplane arrangements and related topics ⋮ The module of logarithmic \(p\)-forms of a locally free arrangement ⋮ Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture
Cites Work
- Free arrangements of hyperplanes over an arbitrary field
- Free arrangements of hyperplanes and unitary reflection groups
- Hilbert polynomials and geometric lattices
- Cohomology of Local Sheaves on Arrangement Lattices
- The First Two Obstructions to the Freeness of Arrangements
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