A remark on the Tjurina and Milnor numbers of a foliation of second type

We present a relation between the Tjurina and Milnor numbers of a holomorphic foliation of secont type and the Tjurina and Milnor numbers of its union of separatrices when this last one is holomorphic.

Bibliographic Details
Authors: Fernández Sánchez, Percy, García, Evelia R., Saravia Molina, Nancy
Format: article
Publication Date:2022
Country:Perú
Institution:Pontificia Universidad Católica del Perú
Repository:PUCP-Institucional
Language:English
OAI Identifier:oai:repositorio.pucp.edu.pe:20.500.14657/193854
Online Access:https://revistas.pucp.edu.pe/index.php/promathematica/article/view/25727/24272
https://repositorio.pucp.edu.pe/index/handle/123456789/193854
Access Level:Open access
Keyword:Second type holomorphic foliation
Tjurina number
Milnor number
Foliación holomorfa de segundo tipo
Número de Tjurina y número de Milnor
https://purl.org/pe-repo/ocde/ford#1.01.00
Description
Summary:We present a relation between the Tjurina and Milnor numbers of a holomorphic foliation of secont type and the Tjurina and Milnor numbers of its union of separatrices when this last one is holomorphic.