Line arrangements and direct products of free groups

DOI10.2140/agt.2011.11.587zbMath1213.52019arXiv1009.5271OpenAlexW3101114547MaRDI QIDQ631324

Kristopher Williams

Publication date: 23 March 2011

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5271

zbMATH Keywords

homotopy typefundamental grouphyperplane arrangementline arrangementdirect product of free groups

Mathematics Subject Classification ID

Relations with arrangements of hyperplanes (32S22) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Homotopy theory and fundamental groups in algebraic geometry (14F35) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Related Items

A converse to a theorem of Oka and Sakamoto for complex line arrangements

Cites Work

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• On the fundamental group of the complement of a complex hyperplane arrangement
• The characterization of a line arrangement whose fundamental group of the complement is a direct sum of free groups
• Homotopy types of line arrangements
• Direct product of free groups as the fundamental group of the complement of a union of lines
• The braid monodromy of plane algebraic curves and hyperplane arrangements
• Orlik-Solomon algebras and Tutte polynomials
• Some analogs of Zariski's Theorem on nodal line arrangements
• On the homotopy of the complement to plane algebraic curves.
• Combinatorial and algebraic structure in Orlik-Solomon algebras
• Parallel connections and bundles of arrangements