Good Real Perturbations of Simple Corank One Map Germs From R3 to R3
ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from to , we give a complete description of those that admit a good real perturbation. The main source of information to study these questions is obtained from the multiple point sets of these germs.
Authors
- Aldício José Miranda (ORCID: https://orcid.org/0000-0002-6285-5210)
- Taciana O. Souza (ORCID: https://orcid.org/0000-0002-2495-8761)
- Marcelo José Saia (ORCID: https://orcid.org/0000-0001-9880-5189)
Institutions
- Universidade Federal de Uberlândia (BR)
- Universidade Estadual Paulista (Unesp) (BR)
Publication Details
- Journal
- Mathematische Nachrichten
- Published
- 2026-07-25
- DOI
- https://doi.org/10.1002/mana.70216
- Primary Topic
- Advanced Differential Equations and Dynamical Systems
- Type
- article
- Field-Weighted Citation Impact
- 0.00