The monodromy representations of local systems associated with Lauricella's FD

الأصل · EN

We give the monodromy representations of local systems of twisted homology groups associated with Lauricella's system FD(a,b,c) of hypergeometric differential equations under mild conditions on parameters. Our representation is effective even in some cases when the system FD(a,b,c) is reducible. We characterize invariant subspaces under our monodromy representations by the kernel or image of a natural map from a finite twisted homology group to locally finite one.