THE BRUCE-ROBERTS NUMBER OF A FUNCTION ON A WEIGHTED HOMOGENEOUS HYPERSURFACE

Autor(es)

Nuno-Ballesteros, J. J. ^[1] ; Orefice, B. ^[2] ; Tomazella, J. N. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Valencia, Dept Geometria & Topol, E-46100 Burjassot - Spain

^[2] Univ Fed Sao Carlos, Dept Matemat, BR-13560905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: QUARTERLY JOURNAL OF MATHEMATICS; v. 64, n. 1, p. 269-280, MAR 2013.
• Citações Web of Science: 4

Resumo

Given (X, 0)subset of(C-n, 0) a weighted homogeneous germ of hypersurface with isolated singularity and f:(C-n, 0)->(C, 0) a germ of function finitely determined with respect to X, we show that mu(BR)(X, f)=mu(f)+mu(X, f), where mu(f) and mu(X, f) denote the Milnor numbers of f and of the fiber X boolean AND f(-1)(0), respectively, and mu(BR)(X, f) is the Bruce-Roberts number of f with respect to X. We show that the logarithmic characteristic subvariety LC(X) is Cohen-Macaulay and we get relations between the Bruce-Roberts number and the Euler obstruction. (AU)

• Processo FAPESP: 08/53944-8 - O número de Milnor de uma singularidade isolada
• Beneficiário: Bruna Orefice Okamoto
• Modalidade de apoio: Bolsas no Brasil - Doutorado