Higher Chow cycles on Jacobian of Fermat curves and Hypergeometric functions
Number Theory
2017-08-01 v3
Abstract
In this paper we construct certain higher Chow cycles in the 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 and of Fermat varieties and this paper is along the same lines.
Keywords
Cite
@article{arxiv.1703.10370,
title = {Higher Chow cycles on Jacobian of Fermat curves and Hypergeometric functions},
author = {Subham Sarkar},
journal= {arXiv preprint arXiv:1703.10370},
year = {2017}
}