Position of singularities and fundamental group of the complement of a union of lines

DOI10.1090/S0002-9939-96-03487-9zbMath0860.14020OpenAlexW1564378810MaRDI QIDQ3837597

Kwai-Man Fan

Publication date: 10 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03487-9

zbMATH Keywords

singularitiescomplex line arrangementsfundamental group of the complement of a union of lines

Mathematics Subject Classification ID

Singularities of curves, local rings (14H20) Homotopy theory and fundamental groups in algebraic geometry (14F35)

Related Items (6)

Cyclically presented groups, lower central series and line arrangements ⋮ On the structure of conjugation-free fundamental groups of conic-line arrangements ⋮ The characterization of a line arrangement whose fundamental group of the complement is a direct sum of free 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 ⋮ Higher homotopy groups of complements of complex hyperplane arrangements

Cites Work

• The fundamental group of the complement of a union of complex hyperplanes: Correction
• Singularities and topology of hypersurfaces
• Some plane curves whose complements have non-abelian fundamental groups
• Product theorem of the fundamental group of a reducible curve
• On the irregularity of cyclic multiple planes
• On the Fundamental Group of an Algebraic Curve

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