Dimca hypersurfaces and Nagata automorphisms

CHOUDARY-DIMCA [CD] proved that Dimca hypersurfaces are diffeomorphic to R- 2n and some of the hypersurfaces with dimension 3 are isomorphic to the pla ne and the embeddings are equivalent to linear embeddings. However, neither an isomorphism nor a trivializing polynomial automorphism was given explic itly. The purpose of the present paper is to give these explicitly.