Quasihomogene Singularitäten algebraischer Kurven
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In this note we consider algebraic curves X over an algebraically closed field k of characteristic O. We give some characterizations in terms of differentials of quasihomogeneous curve singularities, similar to well-known characterizations of quasihomogeneous isolated singularities of hypersurfaces (see  and the literature quoted there). Moreover, we discuss the structure of the completion ÔX of the local ring in such singularities. In case X has at most two analytic branches in a quasihomogeneous singularity a classification of the k-algebras ÔX up to isomorphism can be given.
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