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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. 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 |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of 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 |
| Date: | February 2001 |
| Volume: | Vol.63 |
| Number: | No.1 |
| Page Range: | pp. 177-187 |
| Identification Number: | 10.1112/S0024610700001320 |
| Status: | Peer Reviewed |
| Access rights to Published version: | Open Access |
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| URI: | http://wrap.warwick.ac.uk/id/eprint/810 |
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