Twisted cycles and twisted period relations for Lauricella's hypergeometric function F_C

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.

14+1 pages, 2 figures

References in corpus (2)

• Twisted period relations for Lauricella's hypergeometric function F_A
• The monodromy representation and twisted period relations for Appell's hypergeometric function F_4

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