A simplified proof of the Granja-Merle factorization theorem

Authors

Keywords:

Plane algebroid curves, semigroup associated with a branch, key polynomials, contact coefficients

Abstract

In [G] Granja proved a factorization theorem for power series in two variables which generalized the Merle theorem [M] on polar curves. Our aim is to reprove his result without resorting to Hamburger-Noether expansions and Apéry sequences. We base our proof on the method developed by us in [GB-P l].

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Author Biographies

  • Evelia R. García Barroso, University of La Laguna

    Departamento de Matemáticas, Estadística e I.O.
    Sección de Matemáticas, Universidad de La Laguna

  • Arkadiusz Ploski, Kielce University of Technology

    Department of Mathematics and Physics
    Kielce University of Technology

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Published

2019-09-10

Issue

Vol. 30 No. 60 (2019)

Section

Artículos

License

Creative Commons License

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

How to Cite

A simplified proof of the Granja-Merle factorization theorem. (2019). Pro Mathematica, 30(60), 91-100. https://revistas.pucp.edu.pe/index.php/promathematica/article/view/21095