| Full text | |
| Author(s): |
dos Santos, Raimundo N. Araujo
;
Bode, Benjamin
;
Quiceno, Eder L. Sanchez
Total Authors: 3
|
| Document type: | Journal article |
| Source: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 55, n. 3, p. 49-pg., 2024-09-01. |
| Abstract | |
We introduce the notion of a (strongly) inner non-degenerate mixed function f:C2 -> C.\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$f:{\mathbb {C}}<^>2\rightarrow {\mathbb {C}}.$$\end{document} We show that inner non-degenerate mixed polynomials have weakly isolated singularities and strongly inner non-degenerate mixed polynomials have isolated singularities. Furthermore, under one additional assumption, which we call "Gamma\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\Gamma $$\end{document}-niceness", the links of these singularities can be completely characterized in terms of the Newton boundary of f. In particular, adding terms above the Newton boundary does not affect the topology of the link. (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/11415-3 - Classication of Real and Complex Singularities |
| Grantee: | Eder Leandro Sanchez Quiceno |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |
| FAPESP's process: | 17/25902-8 - Classification of real and complex singularities |
| Grantee: | Eder Leandro Sanchez Quiceno |
| Support Opportunities: | Scholarships in Brazil - Doctorate |