Open AccessA 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.