Abstract
We study the Zariski closure of the monodromy group Mon of Lauricella's hypergeometric function F C . If the identity component Mon 0 acts irreducibly, then Mon ¯ ∩ SL 2 n ( C ) must be one of classical groups SL 2 n ( C ) , SO 2 n ( C ) and Sp 2 n ( C ) . We also study Calabi–Yau varieties arising from integral representations of F C .
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