Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-28T03:35:48.686Z Has data issue: false hasContentIssue false

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]
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)