A characterization of quasi-homogeneous complete intersection singularities | Zendy

Henrik Vosegaard | Zendy

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A characterization of quasi-homogeneous complete intersection singularities

Author(s) -

Henrik Vosegaard

Publication year - 2002

Publication title -

journal of algebraic geometry

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.824

H-Index - 50

eISSN - 1534-7486

pISSN - 1056-3911

DOI - 10.1090/s1056-3911-02-00298-9

Subject(s) - hypersurface , gravitational singularity , complete intersection , mathematics , homogeneous , singularity , characterization (materials science) , intersection (aeronautics) , homogeneity (statistics) , pure mathematics , dimension (graph theory) , isolated singularity , mathematical analysis , combinatorics , physics , statistics , optics , engineering , aerospace engineering

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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