Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves

DOI10.1142/S0129167X16500270zbMath1336.14023arXiv1009.0096OpenAlexW2963519892MaRDI QIDQ2797911

Yuuki Tadokoro

Publication date: 1 April 2016

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.0096

zbMATH Keywords

algebraic cycleiterated integralharmonic 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) Differentials on Riemann surfaces (30F30)

Related Items (4)

Experiments with Ceresa classes of cyclic Fermat quotients ⋮ Cycles on Jacobians of Fermat curves and hypergeometric functions ⋮ Albanese kernels and Griffiths groups ⋮ Pointed harmonic volume and its relation to the extended Johnson homomorphism

Cites Work

• A nontrivial algebraic cycle in the Jacobian variety of the Fermat sextic
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