Direct product of free groups as the fundamental group of the complement of a union of lines

DOI10.1307/mmj/1029005704zbMath0911.14007OpenAlexW1971513725MaRDI QIDQ1371320

Kwai-Man Fan

Publication date: 14 December 1997

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029005704

zbMATH Keywords

fundamental group of the complement of a complex line arrangementposition of singularities

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Coverings of curves, fundamental group (14H30) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (14)

The loop-linking number of line arrangements ⋮ Cyclically presented groups, lower central series and line arrangements ⋮ Moduli spaces of arrangements of 10 projective lines with quadruple points ⋮ A converse to a theorem of Oka and Sakamoto for complex line arrangements ⋮ On the structure of conjugation-free fundamental groups of conic-line arrangements ⋮ On the diffeomorphic type of the complement to a line arrangement in a projective plane ⋮ Line arrangements and direct products of free groups ⋮ The characterization of a line arrangement whose fundamental group of the complement is a direct sum of free groups ⋮ On graphic arrangement groups ⋮ A conjugation-free geometric presentation of fundamental groups of arrangements ⋮ On the structure of fundamental groups of conic-line arrangements having a cycle in their graph ⋮ Topology and homotopy of lattice isomorphic arrangements ⋮ Some analogs of Zariski's Theorem on nodal line arrangements ⋮ Complements to Ample Divisors and Singularities

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