Generalized Poincaré-Dulac Singularities of Holomorphic Foliations

Fernández-Sánchez P.; Mozo-Fernández J. · Bulletin of the Iranian Mathematical Society (2024) · DOI: 10.1007/s41980-024-00948-y

Resumen

In this paper, we study the analytic classification of a class of nilpotent singularities of holomorphic foliations in (C2,0), 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. © The Author(s) 2024.

Instituciones: Pontificia Universidad Católica del Perú