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We study Lauricella's hypergeometric function F_C by using twisted(co)homology groups. We construct twisted cycles with respect to an Euler-typeintegral representation of F_C. These cycles correspond to 2^m linearlyindependent solutions to the system of differential equations annihilating F_C.Using intersection forms of twisted (co)homology groups, we obtain twistedperiod relations which give quadratic relations for Lauricella's F_C.

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