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

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.

9 pages, 2 figures

Cited by in corpus (1)

• Experiments with Ceresa classes of cyclic Fermat quotients