Harmonic Volume, Symmetric Products, and the Abel-Jacobi Map

DOI10.2307/2154270zbMath0783.14003OpenAlexW4241993663MaRDI QIDQ4038474

William M. Faucette

Publication date: 16 May 1993

Full work available at URL: https://doi.org/10.2307/2154270

zbMATH Keywords

Abel-Jacobi mapalgebraic cycleintermediate JacobianTorelli spaceharmonic volumeholomorphic torus bundle

Mathematics Subject Classification ID

Picard schemes, higher Jacobians (14K30) Jacobians, Prym varieties (14H40) Algebraic cycles (14C25)

Related Items (2)

On the Abel-Jacobi maps of Fermat Jacobians ⋮ Pointed harmonic volume and its relation to the extended Johnson homomorphism

Cites Work

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• Harmonic volumes
• C is not algebraically equivalent to \(C^-\) in its Jacobian
• Some remarks on algebraic equivalence of cycles
• The fundamental group of a Riemann surface: Mixed Hodge structures and algebraic cycles
• On the periods of certain rational integrals. I, II
• Symmetric products of an algebraic curve
• A TRIPLE PRODUCT FOR AUTOMORPHIC FORMS
• Homological versus algebraic equivalence in a jacobian
• Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)
• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)

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