Homotopy types of line arrangements

DOI10.1007/BF01231283zbMath0772.52011MaRDI QIDQ1210506

Michael J. Falk

Publication date: 28 September 1993

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/144073

zbMATH Keywords

matroidsline arrangementshomotopy equivalent

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items

Semi-algebraic partition and basis of Borel-Moore homology of hyperplane arrangements, Divides with cusps and Kirby diagrams for line arrangements, The equivariant Orlik-Solomon algebra, Combinatorial Stratifications and Minimality of Two-Arrangements, Recent topics of arrangements of hyperplanes, Combinatorial stratifications and minimality of 2-arrangements, Twisted Alexander modules of hyperplane arrangement complements, The homology groups of the Milnor fiber associated to a central arrangement of hyperplanes in \(\mathbb C^3\), Line arrangements and direct products of free groups, Discriminantal bundles, arrangement groups, and subdirect products of free groups, The fundamental group of partial compactifications of the complement of a real line arrangement, Derivation degree sequences of non-free arrangements, Unnamed Item, The diffeomorphic types of the complements of arrangements in \(\mathbb C\mathbb P^{3}\). II., The homotopy type of the complement to a system of complex lines in \(\mathbb C^2\), Braid monodromy of algebraic curves, Combinatorial and algebraic structure in Orlik-Solomon algebras, The characterization of a line arrangement whose fundamental group of the complement is a direct sum of free groups, Diffeomorphic types of complements of nice point arrangements in \(\mathbb{C}\mathbb{P}^l\), Topology and homotopy of lattice isomorphic arrangements, The fundamental group of the complement of the complexification of a real arrangement of hyperplanes, Orlik-Solomon algebras and Tutte polynomials, Arrangements and cohomology, Some analogs of Zariski's Theorem on nodal line arrangements, Topological invariance of intersection lattices of arrangements in 𝐂𝐏²

Cites Work

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• On the algebra associated with a geometric lattice
• Topology of the complement of real hyperplanes in \({\mathbb C}^ N\)
• The fundamental group of the complement of a union of complex hyperplanes: Correction
• Combinatorial geometries, convex polyhedra, and Schubert cells
• Combinatorics and topology of complements of hyperplanes
• A note on the fundamental group of the Salvetti complex determined by an oriented matroid
• The fundamental group of the complement of a union of complex hyperplanes
• On the homotopy of the complement to plane algebraic curves.
• Combinatorial Stratification of Complex Arrangements
• Lattice-Isotopic Arrangements are Topologically Isomorphic