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

2010/09/01 by Yuuki Tadokoro, Tadokoro, Yuuki · 1 citation
Computer Science · Mathematics · #14H30 #14H40 #30F30 #32G15 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.1009.0096

openalex publication_date 2010/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain the trace map image of the values of certain harmonic volumes for some quotients of Fermat curves. This provides the algorithm that the algebraic cycles called by the k-th Ceresa cycles are not algebraically equivalent to zero in the Jacobian varieties.

Cited by

• The modified diagonal cycles of Hypergeometric curves

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