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

Authors

  • Percy Fernández Sánchez Pontifical Catholic University of Peru image/svg+xml
  • Evelia R. García Pontifical Catholic University of Peru image/svg+xml
  • Nancy Saravia Molina Pontifical Catholic University of Peru image/svg+xml

Keywords:

Second type holomorphic foliation, Tjurina number, Milnor number

Abstract

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.

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Author Biographies

  • Percy Fernández Sánchez, Pontifical Catholic University of Peru

    Departamento de Ciencias, Sección Matemáticas, Pontificia Universidad Católica del Perú.
    Partially supported by the Pontificia Universidad Católica del Perú project CAP 2019-ID 717.

  • Evelia R. García, Pontifical Catholic University of Peru

    Departamento de Matemáticas, Estadística e Investigación Operativa, Sección de Matemáticas, Universidad de La Laguna.
    Partially supported by the Spanish grants MTM2016-80659-P and MICINN PID2019-105896GB-I00.

  • Nancy Saravia Molina, Pontifical Catholic University of Peru

    Departamento de Ciencias, Sección Matemáticas, Pontificia Universidad Católica del Perú.
    Partially supported by the Pontificia Universidad Cat´olica del Perú project CAP 2019-ID 717.

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Published

2022-08-31

Issue

Vol. 32 No. 63 (2022)

Section

Artículos

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

A remark on the Tjurina and Milnor numbers of a foliation of second type. (2022). Pro Mathematica, 32(63), 11-22. https://revistas.pucp.edu.pe/index.php/promathematica/article/view/25727