The Euler obstruction of a function on a determinantal variety and on a curve

Autor(es)

Ament, D. A. H. ; Nuno-Ballesteros, J. J. ; Orefice-Okamoto, B. ; Tomazella, J. N.

• Tipo de documento: Artigo Científico
• Fonte: BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 47, n. 3, p. 955-970, SEP 2016.
• Citações Web of Science: 1

Resumo

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)

• Processo FAPESP: 13/14014-3 - Equisingularidade de variedades determinantais
• Beneficiário: Bruna Orefice Okamoto
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 13/10856-0 - Equisingularidade e invariantes de singularidades
• Beneficiário: João Nivaldo Tomazella
• Modalidade de apoio: Auxílio à Pesquisa - Regular