Equisingularity of map germs from a surface to the plane

Autor(es)

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

Afiliação do(s) autor(es)

^[1] Univ Valencia, Dept Matemat, Campus Burjassot, E-46100 Burjassot - Spain

^[2] Univ Fed Sao Carlos, Dept Matemat, Caixa Postal 676, BR-13560905 Sao Carlos, SP - Brazil

• Tipo de documento: Artigo Científico
• Fonte: COLLECTANEA MATHEMATICA; v. 69, n. 1, p. 65-81, JAN 2018.
• Citações Web of Science: 0

Resumo

Let (X, 0) be an ICIS of dimension 2 and let be a map germ with an isolated instability. We look at the invariants that appear when is a smoothing of (X, 0) and is a stabilization of f. We find relations between these invariants and also give necessary and sufficient conditions for a 1-parameter family to be Whitney equisingular. As an application, we show that a family is Zariski equisingular if and only if it is Whitney equisingular and the numbers of cusps and double folds of a generic linear projection are constant with respect to t. (AU)

• Processo FAPESP: 13/14014-3 - Equisingularidade de variedades determinantais
• Beneficiário: Bruna Orefice Okamoto
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 16/04740-7 - Invariantes de variedades singulares e de aplicações sobre variedades singulares
• Beneficiário: João Nivaldo Tomazella
• Modalidade de apoio: Auxílio à Pesquisa - Regular