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math.AG2010★ 1 cited
Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves
Yuuki Tadokoro
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-t…
math.AG2007
A nontrivial algebraic cycle in the Jacobian variety of the Fermat sextic
Yuuki Tadokoro
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…