A nontrivial algebraic cycle in the Jacobian variety of the Klein quartic

DOI10.1007/s00209-007-0273-6zbMath1222.14058arXivmath/0508433OpenAlexW2150846186MaRDI QIDQ943385

Yuuki Tadokoro

Publication date: 9 September 2008

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

Full work available at URL: https://arxiv.org/abs/math/0508433

zbMATH Keywords

Jacobian varietyalgebraic cycleharmonic volume

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Jacobians, Prym varieties (14H40) Coverings of curves, fundamental group (14H30) Algebraic cycles (14C25) Differentials on Riemann surfaces (30F30)

Related Items (6)

A non-hyperelliptic curve with torsion Ceresa class ⋮ Experiments with Ceresa classes of cyclic Fermat quotients ⋮ Period matrices of some hyperelliptic Riemann surfaces ⋮ On the Abel-Jacobi maps of Fermat Jacobians ⋮ Albanese kernels and Griffiths groups ⋮ Pointed harmonic volume and its relation to the extended Johnson homomorphism

Uses Software

• Mathematica

Cites Work

• Harmonic volumes
• C is not algebraically equivalent to \(C^-\) in its Jacobian
• The fundamental group of a Riemann surface: Mixed Hodge structures and algebraic cycles
• The pointed harmonic volumes of hyperelliptic curves with Weierstrass base point
• The harmonic volumes of hyperelliptic curves
• Algebraic cycles and values of L-functions.
• Combinatorial group theory, Riemann surfaces and differential equations
• Homological versus algebraic equivalence in a jacobian
• Algebras of Iterated Path Integrals and Fundamental Groups
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