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arXiv · 1003.0357

On the Abel-Jacobi maps of Fermat Jacobians

Noriyuki Otsubo
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Abstract

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.

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Noriyuki Otsubo. 2010-03-01. On the Abel-Jacobi maps of Fermat Jacobians. https://arxiv.org/abs/1003.0357

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