| Texto completo | |
| Autor(es): |
Kourliouros, Konstantinos
[1]
Número total de Autores: 1
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| Afiliação do(s) autor(es): | [1] ICMC USP, Av Trabalhador Sancarlense 400, Sao Carlos, SP - Brazil
Número total de Afiliações: 1
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| Tipo de documento: | Artigo Científico |
| Fonte: | JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES; v. 144, p. 250-268, DEC 2020. |
| Citações Web of Science: | 0 |
| Resumo | |
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) | |
| Processo FAPESP: | 17/23555-9 - Singularidades de sistemas hamiltonianos com restrições |
| Beneficiário: | Konstantinos Kourliouros |
| Modalidade de apoio: | Bolsas no Brasil - Pós-Doutorado |