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Milnor number equals Tjurina number for functions on space curves
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Mond, D. (David) and Straten, Duco van (2001) Milnor number equals Tjurina number for functions on space curves. Journal of the London Mathematical Society , Vol.63 (No.1). pp. 177-187. doi:10.1112/S0024610700001320 ISSN 0024-6107 .
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Official URL: http://dx.doi.org/10.1112/S0024610700001320
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Singularities (Mathematics), Cohomology operations, Algebraic topology, Deformations of singularities, Curves, Algebraic | ||||
Journal or Publication Title: | Journal of the London Mathematical Society | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0024-6107 | ||||
Official Date: | February 2001 | ||||
Dates: |
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Volume: | Vol.63 | ||||
Number: | No.1 | ||||
Page Range: | pp. 177-187 | ||||
DOI: | 10.1112/S0024610700001320 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) |
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