A second Lefschetz theorem for general manifold sections in complex projective space

DOI10.1007/BF01352025zbMath0472.14011MaRDI QIDQ1158222

Norman Goldstein

Publication date: 1979

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163327

zbMATH Keywords

vanishing cyclessecond Lefschetz theoremcycles invariant under monodromy

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Classical real and complex (co)homology in algebraic geometry (14F25) Topological properties in algebraic geometry (14F45)

Related Items (1)

A Noether-Lefschetz theorem for vector bundles

Cites Work

• Cohomologie des variétés algébriques
• Complex subspaces of homogeneous complex manifolds. I: Transplanting theorems
• Local cohomological dimension of algebraic varieties
• Complex analytic geometry
• On the topology of complex projective manifolds
• On a theorem of Lefschetz
• The Lefschetz theorem on hyperplane sections
• A theorem on the Poincaré group of an algebraic hypersurface
• Varieties of small codimension in projective space
• Theorems of Barth-Lefschetz type for complex subspaces of homogeneous complex manifolds
• Transplanting Cohomology Classes in Complex-Projective Space
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