Twisted cycles and twisted period relations for Lauricella's hypergeometric function F_C
Algebraic Geometry
2017-04-04 v3 Classical Analysis and ODEs
Abstract
We study Lauricella's hypergeometric function F_C by using twisted (co)homology groups. We construct twisted cycles with respect to an Euler-type integral representation of F_C. These cycles correspond to 2^m linearly independent solutions to the system of differential equations annihilating F_C. Using intersection forms of twisted (co)homology groups, we obtain twisted period relations which give quadratic relations for Lauricella's F_C.
Keywords
Cite
@article{arxiv.1308.5535,
title = {Twisted cycles and twisted period relations for Lauricella's hypergeometric function F_C},
author = {Yoshiaki Goto},
journal= {arXiv preprint arXiv:1308.5535},
year = {2017}
}
Comments
14+1 pages, 2 figures