Topological invariants, vanishing Euler characteristic and equisingularities of fa...
Determinantal varieties, Euler obstruction, and Whitney equisingularity
Milnor number, Bruce-Roberts number and determinantal varieties
| Full text | |
| Author(s): |
Ament, D. A. H.
;
Nuno-Ballesteros, J. J.
;
Orefice-Okamoto, B.
;
Tomazella, J. N.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 47, n. 3, p. 955-970, SEP 2016. |
| Web of Science Citations: | 1 |
| Abstract | |
Given an analytic function germ f: (X, 0) -> C on an isolated determinantal singularity or on a reduced curve, we present formulas relating the local Euler obstruction of f to the vanishing Euler characteristic of the fiber X a (c) f (-1)(0) and to the Milnor number of f. Restricting ourselves to the case where X is a complete intersection, we obtain an easy way to calculate the local Euler obstruction of f as the difference between the dimension of two algebras. (AU) | |
| FAPESP's process: | 13/14014-3 - Equisingularity of determinantal varieties |
| Grantee: | Bruna Orefice Okamoto |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 13/10856-0 - Equisingularity and Invariantes of singularities |
| Grantee: | João Nivaldo Tomazella |
| Support Opportunities: | Regular Research Grants |