| Texto completo | |
| Autor(es): |
Lima-Pereira, B. K.
[1]
;
Nuno-Ballesteros, J. J.
[2, 3]
;
Orefice-Okamoto, B.
[1]
;
Tomazella, J. N.
[1]
Número total de Autores: 4
|
| Afiliação do(s) autor(es): | [1] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13560905 Sao Carlos, SP - Brazil
[2] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, PB - Brazil
[3] Univ Valencia, Dept Matemat, Campus Burjassot, Burjassot 46100 - Spain
Número total de Afiliações: 3
|
| Tipo de documento: | Artigo Científico |
| Fonte: | PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 64, n. 3, p. 662-674, AUG 2021. |
| Citações Web of Science: | 0 |
| Resumo | |
We consider the relative Bruce-Roberts number mu((B) over barR)(f, X) of a function on an isolated hypersurface singularity (X, 0). We show that mu((B) over barR)(f, X) is equal to the sum of the Milnor number of the fibre mu(f(-1)(0) boolean AND X, 0) plus the difference mu(X, 0) - tau(X, 0) between the Milnor and the Tjurina numbers of (X, 0). As an application, we show that the usual Bruce-Roberts number mu(BR)(f, X) is equal to mu(f) + mu((B) over barR)(f, X). We also deduce that the relative logarithmic characteristic variety LC(X)(-), obtained from the logarithmic characteristic variety LC(X) by eliminating the component corresponding to the complement of X in the ambient space, is Cohen-Macaulay. (AU) | |
| Processo FAPESP: | 19/07316-0 - Teoria de singularidades e aplicações a geometria diferencial, equações diferenciais e visão computacional |
| Beneficiário: | Farid Tari |
| Modalidade de apoio: | Auxílio à Pesquisa - Temático |