| Full text | |
| Author(s): |
Kourliouros, Konstantinos
[1]
Total Authors: 1
|
| Affiliation: | [1] ICMC USP, Av Trabalhador Sancarlense 400, Sao Carlos, SP - Brazil
Total Affiliations: 1
|
| Document type: | Journal article |
| Source: | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES; v. 144, p. 250-268, DEC 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We present local classification results for isolated singularities of functions with respect to a Nambu structure (multi-vector field) of maximal degree, in a neighbourhood of a smooth point of its degeneracy hypersurface. The results depend on a logarithmic version of the Brieskorn-Sebastiani theorem, which guarantees the finiteness and freeness of the corresponding deformation module. This relates the functional moduli of the classification problem with the integrals of logarithmic forms along the vanishing cycles of the complement of the Milnor fibres of the restriction of the function on the degeneracy hypersurface of the Nambu structure, inside the Milnor fibres of the function itself. (C) 2020 Elsevier Masson SAS. All rights reserved. (AU) | |
| FAPESP's process: | 17/23555-9 - Singularities of Hamiltonian Systems with constraints |
| Grantee: | Konstantinos Kourliouros |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |