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

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

2007-10-27

arxiv.org/abs/0710.5209v1

Mathematics

Algebraic Geometry

9 pages, 1 figure

Scientific paper

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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