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MILNOR NUMBER EQUALS TJURINA NUMBER FOR FUNCTIONS ON SPACE CURVES

Published online by Cambridge University Press:  19 March 2001

DAVID MOND
Affiliation:
University of Warwick, Coventry CV4 7AL; [email protected]
DUCO VAN STRATEN
Affiliation:
Fachbereich Mathematik (17), Johannes Gutenberg-Universität, D-55099 Mainz, Germany; [email protected]
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Abstract

The equality of the Milnor number and Tjurina number for functions on space curve singularities, as conjectured recently by V. Goryunov, is proved. As a consequence, the discriminant in such a situation is a free divisor.

Type
Research Article
Copyright
The London Mathematical Society 2001

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