Homotopy groups of the complements to singular hypersurfaces

DOI10.1090/S0273-0979-1985-15360-1zbMath0656.55009MaRDI QIDQ3803834

Anatoly S. Libgober

Publication date: 1985

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

zbMATH Keywords

singular hypersurfaceHodge numbers of cyclic covers of \({\mathbb{C}}{\mathbb{P}}^{n+1}\) branched over a hypersurface in \({\mathbb{C}}{\mathbb{P}}^{n+1}\)homotopy groups of the complement to hypersurface

Mathematics Subject Classification ID

Low-dimensional topology of special (e.g., branched) coverings (57M12) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) Low codimension problems in algebraic geometry (14M07) Homotopy groups of special spaces (55Q52)

Related Items

Position of singularities of hypersurfaces and the topology of their complements, Two Exact Sequences in Rational Homotopy Theory Relating Cup Products and Commutators, On deformations of singular plane sextics, Mixed multiplier ideals and the irregularity of abelian coverings of smooth projective surfaces

Cites Work

• Topology of nonsingular complex hypersurfaces
• Some Properties of Differentiable Varieties and Transformations
• The Problem of Minimal Models in the Theory of Algebraic Surfaces
• Un théorème de Zariski du type de Lefschetz
• On the Fundamental Group of an Algebraic Curve