Effective bounds for Hodge-theoretic connectivity

DOI10.1090/S1056-3911-01-00302-2zbMath1057.14014OpenAlexW1979172761MaRDI QIDQ2778306

Jan Nagel

Publication date: 2002

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1056-3911-01-00302-2

zbMATH Keywords

complete intersectionsAbel-Jacobi mapcycle class map

Mathematics Subject Classification ID

Classical real and complex (co)homology in algebraic geometry (14F25) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (3)

An infinitesimal Noether-Lefschetz theorem for Chow groups ⋮ Asymptotic bounds for Nori's connectivity theorem ⋮ Generalized Jacobian rings for open complete intersections

Cites Work

• Griffiths' infinitesimal invariant and the Abel-Jacobi map
• Cohomology of twisted holomorphic forms on Grassmann manifolds and quadric hypersurfaces
• A new proof of the explicit Noether-Lefschetz theorem
• Hodge type of projective varieties of low degree
• An effective version of Nori's theorem
• Cohomological and cycle-theoretic connectivity
• On the Hodge structure of projective hypersurfaces in toric varieties
• The Abel-Jacobi map for complete intersections
• Algebraic cycles and Hodge theoretic connectivity
• Remarks on Correspondences and Algebraic Cycles
• Complex Analytic Connections in Fibre Bundles
• Filtrations de Hodge et par l'ordre du pôle pour les hypersurfaces singulières
• On the non-triviality of the Griffith group.
• Effective bounds for Nori's connectivity theorem
• Constructing Indecomposable Motivic Cohomology Classes on Algebraic Surfaces
• Curves in Grassmannians
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