Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.02873 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917828978802688 |
|---|---|
| author | Sánchez, Percy Fernández Fernández, Jorge Mozo |
| author_facet | Sánchez, Percy Fernández Fernández, Jorge Mozo |
| contents | In this paper, we study the analytic classification of a class of nilpotent singularities of holomorphic foliations in $(\mathbb{C}^2,0)$, those exhibiting a Poincaré-Dulac type singularity in their reduction process. This analytic classification is based in the holonomy of a certain component of the exceptional divisor. Finally, as a consequence, we show that these singularities exhibit a formal analytic rigidity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_02873 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generalized Poincaré-Dulac singularities of holomorphic foliations Sánchez, Percy Fernández Fernández, Jorge Mozo Dynamical Systems 32S65 (Primary), 37C15 (Secondary) In this paper, we study the analytic classification of a class of nilpotent singularities of holomorphic foliations in $(\mathbb{C}^2,0)$, those exhibiting a Poincaré-Dulac type singularity in their reduction process. This analytic classification is based in the holonomy of a certain component of the exceptional divisor. Finally, as a consequence, we show that these singularities exhibit a formal analytic rigidity. |
| title | Generalized Poincaré-Dulac singularities of holomorphic foliations |
| topic | Dynamical Systems 32S65 (Primary), 37C15 (Secondary) |
| url | https://arxiv.org/abs/2411.02873 |