μ-constant deformations of functions on an ICIS

R. S. Carvalho, B. Oréfice-Okamoto, and J. N. Tomazella

Journal of Singularities
volume 19 (2019), 163-176

Received: 18 October 2018. Received in revised form: 8 November 2019.

DOI: 10.5427/jsing.2019.19i

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Abstract:

We study deformations of holomorphic function germs f:(X,0) -> C, where (X,0) is an ICIS. We present conditions, in terms of the integral closure of the ideal defining the singular set of f|_X, for these deformations to have constant Milnor number, Euler obstruction, and Bruce-Roberts number.


Author(s) information:

R. S. Carvalho B. Oréfice-Okamoto J. N. Tomazella
Departamento de Matemática Departamento de Matemática Departamento de Matemática
Universidade Federal de São Carlos Universidade Federal de São Carlos Universidade Federal de São Carlos
Caixa Postal 676 Caixa Postal 676 Caixa Postal 676
13560-905, São Carlos, SP, BRAZIL 13560-905, São Carlos, SP, BRAZIL 13560-905, São Carlos, SP, BRAZIL
email: rafaelasoares@dm.ufscar.br email: bruna@dm.ufscar.br email: tomazella@dm.ufscar.br