%0 Journal Article
%T On the Abel-Jacobi maps of Fermat Jacobians
%A Noriyuki Otsubo
%J Mathematics
%D 2010
%I arXiv
%X We study the Abel-Jacobi image of the Ceresa cycle W_k-W_k^-, where W_k is the image of the k-th symmetric product of a curve X on its Jacobian variety. For the Fermat curve of degree N, we express it in terms of special values of generalized hypergeometric functions and give a criterion for the non-vanishing of W_k-W_k^- modulo algebraic equivalence, which is verified numerically for some N and k.
%U http://arxiv.org/abs/1003.0357v1