The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture

Authors

DOI:

https://doi.org/10.18800/promathematica.202401.003

Keywords:

Jacobian conjecture, Groebner basis

Abstract

We compute the Groebner basis of a system of polynomial equations related to the Jacobian conjecture, and describe completely the solution set.

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Author Biographies

  • Christian Valqui, Pontificia Universidad Católica del Perú

    Instituto de Matemáticas y Ciencias Afines (IMCA).
    Email: cvalqui@pucp.pe

  • Valeria Ramírez, Pontificia Universidad Católica del Perú

    Email: valeria.ramireza@pucp.edu.pe

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Published

2025-11-05

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Section

Artículos

How to Cite

The Grobner basis and solution set of a polynomial system related to the Jacobian conjecture. (2025). Pro Mathematica, 33(65), 50-66. https://doi.org/10.18800/promathematica.202401.003