On the Griffiths group of the cubic sevenfold

DOI10.1007/BF01459807zbMath0803.14022arXivalg-geom/9308001MaRDI QIDQ1337530

V. Pereyra

Publication date: 9 November 1994

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9308001

zbMATH Keywords

intermediate JacobianGriffiths group of a general cubic sevenfoldnot finitely generated Griffiths group

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15) (n)-folds ((n>4)) (14J40)

Related Items

Motives and the Pfaffian–Grassmannian equivalence ⋮ The Abel-Jacobi map for complete intersections ⋮ On the \(\mathrm{PSL}_2(\mathbb{F}_{19})\)-invariant cubic sevenfold ⋮ Semi-topological K-theory for certain projective varieties ⋮ The Griffiths group of a general Calabi-Yau threefold is not finitely generated ⋮ On quartic double fivefolds and the matrix factorizations of exceptional quaternionic representations ⋮ Cylindrical homomorphisms and Lawson homology

Cites Work

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• Griffiths' infinitesimal invariant and the Abel-Jacobi map
• Generalized Calabi-Yau manifolds and the mirror of a rigid manifold
• On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich
• Complex multiplication cycles on elliptic modular threefolds
• General components of the Noether-Lefschetz locus and their density in the space of all surfaces
• Cycles on the generic abelian threefold
• Algebraic cycles and Hodge theoretic connectivity
• Geometry on Grassmannians and applications to splitting bundles and smoothing cycles
• On the periods of certain rational integrals. I, II
• Mirror symmetry and rational curves on quintic threefolds: a guide for mathematicians
• Sur l'application d'Abel-Jacobi des variétés de Calabi-Yau de dimension trois