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

2007/10/27 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 #Geometric Topology (math.GT) #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.0710.5209

openalex publication_date 2007/10/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We compute some value of the harmonic volume for the Fermat sextic. Using this computation, we prove that some special algebraic cycle in the Jacobian variety of the Fermat sextic is not algebraically equivalent to zero.

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