Work

Generalized Poincaré-Dulac Singularities of Holomorphic Foliations

Year: 2024

Type: article

Abstract: In this paper, we study the analytic classification of a class of nilpotent singularities of holomorphic foliations in $$({\mathbb {C}}^2,0)$$ ( 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.

Source: Bulletin of the Iranian Mathematical Society.

DOI: 10.1007/s41980-024-00948-y

Authors: Percy Fernández-Sánchez, Jorge Mozo-Fernández

Institutions: Pontificia Universidad Católica del Perú, Universidad de Valladolid

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: Ministerio de Ciencia e Innovación, Universidad de Valladolid, Pontificia Universidad Católica del Perú, Agencia Estatal de Investigación