Homotopical variations and high-dimensional Zariski-van Kampen theorems

DOI10.1090/S0002-9947-05-03907-3zbMath1086.14015arXivmath/0204176MaRDI QIDQ5694969

Christophe Eyral, Denis Chéniot

Publication date: 6 October 2005

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

Full work available at URL: https://arxiv.org/abs/math/0204176

zbMATH Keywords

monodromyhomotopy groupspencils of hyperplanes

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Homotopy theory and fundamental groups in algebraic geometry (14F35) Topological aspects of complex singularities: Lefschetz theorems, topological classification, invariants (32S50)

Cites Work

• Topology of the complement of a projective algebraic set
• Homotopy groups of the complements to singular hypersurfaces. II
• Tangents to an analytic variety
• Lefschetz theorems on quasi-projective varieties
• ZARISKI–VAN KAMPEN THEOREM FOR HIGHER-HOMOTOPY GROUPS
• On the Fundamental Group of an Algebraic Curve
• Vanishing Cycles in a Pencil of Hyperplane Sections of a Non-Singular Quasi-Projective Variety
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