The Groebner basis of a polynomial system related to the Jacobian conjecture

Authors

  • Christian Holger Valqui Haase Pontifical Catholic University of Peru image/svg+xml
  • Marco Solórzano Pontifical Catholic University of Peru image/svg+xml

Keywords:

Jacobian, Groebner basis, Catalan numbers

Abstract

We compute the Groebner basis of a system of polynomial equations related to the Jacobian conjecture using a recursive formula for the Catalan numbers.

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Author Biographies

  • Christian Holger Valqui Haase, Pontifical Catholic University of Peru

    Sección Matemáticas
    Departamento de Ciencias
    Pontificia Universidad Católica del Perú
    Av. Universitaria 1801, San Miguel, Lima 32, Perú

    Instituto de Matematica y Ciencias Afines (IMCA)
    Calle Los Biologos 245, Urb. San Cesar, La Molina, Lima 12, Peru

  • Marco Solórzano, Pontifical Catholic University of Peru
    Sección Matematicas
    Departamento de Ciencias
    Pontificia Universidad Católica del Perú
    Av. Universitaria 1801, San Miguel, Lima 32, Perú

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Published

2014-12-02

Issue

Vol. 28 No. 55 (2014)

Section

Artículos

License

Copyright (c) 2016 Pro Mathematica

Creative Commons License

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

How to Cite

The Groebner basis of a polynomial system related to the Jacobian conjecture. (2014). Pro Mathematica, 28(55), 25-40. https://revistas.pucp.edu.pe/index.php/promathematica/article/view/11046