Variations of Hodge structure and zero cycles on general surfaces

DOI10.1007/BF01459773zbMath0837.14007OpenAlexW2075424523MaRDI QIDQ1327095

Claire Voisin

Publication date: 20 May 1996

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

Full work available at URL: https://eudml.org/doc/165199

zbMATH Keywords

zero cyclesJacobian ringrational equivalencevariation of Hodge structurecohomology of hypersurfaces

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Variation of Hodge structures (algebro-geometric aspects) (14D07) Algebraic cycles (14C25)

Related Items (13)

Remarks on hard Lefschetz conjectures on Chow groups ⋮ Nonvanishing of external products for higher Chow groups ⋮ Clustered families and applications to Lang‐type conjectures ⋮ Étale monodromy and rational equivalence for -cycles on cubic hypersurfaces in ⋮ An interesting 0-cycle ⋮ On the dimension of Voisin sets in the moduli space of abelian varieties ⋮ Rationally inequivalent points on hypersurfaces in \(\mathbb{P}^n\) ⋮ Higher normal functions and Griffiths groups ⋮ \({\mathbb A}^1\)-curves on affine complete intersections ⋮ Rational curves on general projective hypersurfaces ⋮ Subvarieties of generic hypersurfaces in a nonsingular projective toric variety ⋮ A variant of a theorem of C. Voisin ⋮ Applications of a Grassmannian technique to hyperbolicity, Chow equivalency, and Seshadri constants

Cites Work

• Griffiths' infinitesimal invariant and the Abel-Jacobi map
• Koszul cohomology and the geometry of projective varieties. II
• A new proof of the symmetrizer lemma and a stronger weak Torelli theorem for projective hypersurfaces
• The torsion of the group of 0-cycles modulo rational equivalence
• Algebraic cycles and Hodge theoretic connectivity
• Rational equivalence of O-cycles on surfaces
• On the periods of certain rational integrals. I, II
• Les intersections complètes de niveau de Hodge un. (The complete intersections of Hodge level one)
• Remarks on Correspondences and Algebraic Cycles
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
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