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Milnor Number Equals Tjurina Number for Functions on Space Curves
Author(s) -
Mond David,
Van Straten Duco
Publication year - 2001
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s0024610700001320
Subject(s) - mathematics , space (punctuation) , pure mathematics , combinatorics , geometry , computer science , operating system
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.
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