The Bruce-Roberts numbers and the logarithmic characteristic variety
Geometry of manifolds in the euclidian space and in the Minkowski space
| Full text | |
| Author(s): |
Nuno-Ballesteros, J. J.
[1]
;
Orefice-Okamoto, B.
[2]
;
Lima-Pereira, B. K.
[2]
;
Tomazella, J. N.
[2]
Total Authors: 4
|
| Affiliation: | [1] Univ Valencia, Dept Matemat, Campus Burjassot, Burjassot 46100 - Spain
[2] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13560905 Sao Carlos, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | QUARTERLY JOURNAL OF MATHEMATICS; v. 71, n. 3, p. 1049-1063, SEP 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
Let (X, 0) be an isolated hypersurface singularity defined by phi : (C-n, 0) -> (C, 0) and f : (C-n, 0) -> C such that the Bruce-Roberts number mu(BR)(f, X) is finite. We first prove that mu(BR)(f, X) = mu(f) + mu(phi, f) + mu(X, 0) - t(X, 0), where mu and tau are the Milnor and Tjurina numbers respectively of a function or an isolated complete intersection singularity. Second, we show that the logarithmic characteristic variety LC(X, 0) is Cohen-Macaulay. Both theorems generalize the results of a previous paper by some of the authors, in which the hypersurface (X, 0) was assumed to be weighted homogeneous (AU) | |
| FAPESP's process: | 16/25730-0 - Invariant of determinantal singularities and of maps on analytic varieties. |
| Grantee: | Bruna Orefice Okamoto |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 18/22090-5 - Invariants of Singularities |
| Grantee: | João Nivaldo Tomazella |
| Support Opportunities: | Regular Research Grants |