2002•Journal of Algebraic GeometryRequires access

A characterization of quasi-homogeneous complete intersection singularities

Henrik Vosegaard

Abstract

It is well-known that quasi-homogeneity is characterized by equality of the Milnor and Tjurina numbers for isolated complex analytic hypersurface singularities and for certain low-dimensional singularities. We prove that this characterization extends to any complex isolated complete intersection singularity of positive dimension.

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Key concepts: Hypersurface, Gravitational singularity, Complete intersection, Mathematics, Homogeneous, Singularity, Characterization (materials science), Intersection (aeronautics)