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

      Valqui Haase, Christian Holger; Solórzano, Marco (Pontificia Universidad Católica del Perú, 2014)
      We compute the Groebner basis of a system of polynomial equations related to the Jacobian conjecture using a recursive formula for the Catalan numbers.
    • Reducción del grado en aplicaciones de Keller 

      Fernández Sánchez, Percy; Rabanal, Roland (Pontificia Universidad Católica del Perú, 2014)
      The polynomial maps whose Jacobian determinant is equal to 1 are called Keller maps. The Keller Jacobian conjecture claims that every Kellermap is injective. This conjecture is true for polynomials whose degree is less ...