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A Characterization of Quasi-Homogeneous Purely Elliptic Complete Intersection Singularities

Published online by Cambridge University Press:  04 December 2007

Henrik Vosegaard
Henrik Vosegaard
Affiliation:
Department of Mathematics, Aarhus University, Ny Munkegade, DK-8000 Aarhus C, Denmark. E-mail: vosegaard@imf.au.dk
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Abstract

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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. In this paper we prove that this characterization extends to isolated purely elliptic complete intersection singularities, with bounds on neither the embedding codimension nor the dimension of the singularity.

Keywords

quasi-homogeneous singularitiespurely elliptic singularitiesequality of Milnor and Tjurina numbersmixed Hodge theory of singularities
Type
Research Article
Information
Compositio Mathematica , Volume 124 , Issue 1 , October 2000 , pp. 111 - 121
Copyright
© 2000 Kluwer Academic Publishers