Higher Chow cycles on Jacobian of Fermat curves and Hypergeometric functions

Subham Sarkar

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arXiv · 1703.10370

Higher Chow cycles on Jacobian of Fermat curves and Hypergeometric functions

Subham Sarkar

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Abstract

In this paper we construct certain higher Chow cycles in the $K_{1}$ of the Jacobian of Fermat curves, generalising a construction of Collino. We further compute the regulator of these elements in terms of special values of hypergeometric functions. Otsubo has computed the regulator of certain elements of $K_0$ and $K_2$ of Fermat varieties and this paper is along the same lines.

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Subham Sarkar. 2017-03-30. Higher Chow cycles on Jacobian of Fermat curves and Hypergeometric functions. https://arxiv.org/abs/1703.10370

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