Lattice-Isotopic Arrangements are Topologically Isomorphic
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Publication:4730477
DOI10.2307/2047847zbMath0681.57016OpenAlexW4231794134MaRDI QIDQ4730477
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2047847
arrangementlattice of subspaceslattice isotopycollection of affine subspacescollection of linear subspaces of a projective spacediffeomorphic complementssmooth 1-parameter family of arrangements
Combinatorial aspects of matroids and geometric lattices (05B35) Embeddings in differential topology (57R40) Isotopy in differential topology (57R52) Isotopy in PL-topology (57Q37)
Related Items (30)
$4$ planes in ${\mathbb R}^4$ ⋮ Some Remarks on the Realizability Spaces of (3,4)-Nets ⋮ Homotopy and group cohomology of arrangements ⋮ Free arrangements and rhombic tilings ⋮ Topology of complements of hyperplane arrangements and isomonodromic deformations of Fuchsian systems ⋮ On the exponents of free and nearly free projective plane curves ⋮ Moduli spaces of arrangements of 10 projective lines with quadruple points ⋮ The height of a permutation and applications to distance between real line arrangements ⋮ Not all free arrangements are 𝐾(𝜋,1) ⋮ Motivic zeta functions of hyperplane arrangements ⋮ Discriminantal bundles, arrangement groups, and subdirect products of free groups ⋮ Milnor fibrations of lattice-isotopic arrangements ⋮ The diffeomorphism type of small hyperplane arrangements is combinatorially determined ⋮ Combinatorial symmetry of line arrangements and applications ⋮ The diffeomorphic types of the complements of arrangements in \(\mathbb C\mathbb P^{3}\). II. ⋮ Homotopy types of line arrangements ⋮ Gauss-Manin connections for arrangements, III Formal connections ⋮ Diffeomorphic types of complements of nice point arrangements in \(\mathbb{C}\mathbb{P}^l\) ⋮ A vanishing result for the first twisted cohomology of affine varieties and applications to line arrangements ⋮ Parallel connections and bundles of arrangements ⋮ Deformations of hypersolvable arrangements ⋮ Moduli space of combinatorially equivalent arrangements of hyperplanes and logarithmic Gauss-Manin connections ⋮ On the monodromy action on Milnor fibers of graphic arrangements ⋮ Restrictions of aspherical arrangements ⋮ Fundamental Groups of Real Arrangements and Torsion in the Lower Central Series Quotients ⋮ Unnamed Item ⋮ On complex supersolvable line arrangements ⋮ The fundamental group of the complement of the complexification of a real arrangement of hyperplanes ⋮ Combinatorics of toric arrangements ⋮ Some analogs of Zariski's Theorem on nodal line arrangements
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