A fumaric acid diester based resin containing a dipropyl fumarate residue unit and a fumaric acid diester residue unit having a C1 or C2 alkyl group, wherein in a retardation film composed of the resin, when a refractive index in the fast axis direction within the film plane is designated as nx, a refractive index in the film in-plane direction orthogonal thereto is designated as ny, and a refractive index in the thickness direction of the film is designated as nz, the respective refractive indices are satisfied with a relationship of (nx≦ny