Algebraic cycles on certain desingularized nodal hypersurfaces

DOI10.1007/BF01455524zbMath0533.14002OpenAlexW2027569582MaRDI QIDQ789453

Chad Schoen

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/182984

zbMATH Keywords

Hodge conjecturedesingularization of hypersurfaceHodge ring

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

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Algebraic cycles and values of L-functions. II, Quotients of the Dwork pencil, Remarks on eigenspectra of isolated singularities, Heights on curves and limits of Hodge structures, Point Counting on Singular Hypersurfaces, An example of algebraic cycles with nontrivial Abel-Jacobi images, Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces, Faltings-Serre method on three dimensional selfdual representations, Néron models and limits of Abel–Jacobi mappings, Nodes and the Hodge conjecture, Homogeneous vector bundles and families of Calabi-Yau threefolds, Coble fourfold, \(\mathfrak{S}_6\)-invariant quartic threefolds, and Wiman-Edge sextics, Smoothing nodal Calabi-Yau n -folds, Nodal Quintic Threefolds and Nodal Octic Surfaces, Betti numbers of hypersurfaces and defects of linear systems

Cites Work

• Unnamed Item
• Homogeneous vector bundles
• Generalized intermediate Jacobians and the theorem on normal functions
• Théorie de Hodge. II. (Hodge theory. II)
• The Lefschetz theorem on hyperplane sections