TORSION OF DIFFERENTIALS OF AFFINE
QUASI-HOMOGENEOUS HYPERSURFACES

RUTH I. MICHLER

Abstract:

In this paper we prove that the torsion modules of the module of Kaehler differentials of affine hypersurfaces defined by a reduced quasi-homogeneous polynomial with an isolated singularity at the origin are cyclic. We give explicit expressions for generators. Moreover, we exhibit an isomorphism between the torsion submodule of tex2html_wrap_inline13 and tex2html_wrap_inline15 for such hypersurfaces. A-D-E singularities provide examples of such hypersurfaces.