Insong Choe ----------------------------------------------- Title: Finite morphisms between projective hypersurfaces Abstract: It is expected that the finite morphisms between smooth projective hypersurfaces in CP^n are very rare. We show that there are no nontrivial finite morphisms f : X \rightarrow Y between Fano hypersurfaces X and Y if deg(X) < 2 deg(Y) and dimX = dimY > 2.