| Full text | |
| Author(s): |
Kourliouros, Konstantinos
Total Authors: 1
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| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 52, n. 2 JUN 2020. |
| Web of Science Citations: | 1 |
| Abstract | |
In this note we give a simple proof of the following relative analog of the well known Milnor-Palamodov theorem: the Bruce-Roberts number of a function relative to an isolated hypersurface singularity is equal to its topological Milnor number (the rank of a certain relative (co)homology group) if and only if the hypersurface singularity is quasihomogeneous. The proof relies on an interpretation of the Bruce-Roberts number in terms of differential forms and the Le-Greuel formula. (AU) | |
| FAPESP's process: | 17/23555-9 - Singularities of Hamiltonian Systems with constraints |
| Grantee: | Konstantinos Kourliouros |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |