The monodromy representations of local systems associated with   Lauricella's $F_D$
  We give the monodromy representations of local systems of twisted homology groups associated with Lauricella's system $F_D(a,b,c)$ of hypergeometric differential equations under mild conditions on parameters. Our representation is effective even in some cases when the system $F_D(a,b,c)$ 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. 
Keiji Matsumoto
math.AG