The Heun equation and the Calogero-Moser-Sutherland system III: the   finite gap property and the monodromy
  A new approach to the finite-gap property for the Heun equation is constructed. The relationship between the finite-dimensional invariant space and the spectral curve is clarified. The monodromies are calculated and are expressed as hyperelliptic integrals. Applications to the spectral problem for the $BC_1$ Inozemtsev model are obtained. 
Kouichi Takemura