A differential equation for polynomials related to the Jacobian conjecture

We analyze a possible minimal counterexample to theJacobian Conjecture P;Q with gcd(deg(P); deg(Q)) = 16 and show that its existence depends only on the existence of solutions for a certain Abel dierential equation of the second kind.

Autor Principal: Valqui Haase, Christian Holger
Otros Autores: Guccione, Jorge A., Guccione, Juan J.
Formato: Artículo
Idioma: spa
Publicado: Pontificia Universidad Católica del Perú 2014
Materias:
Acceso en línea: http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10409/10859
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Sumario: We analyze a possible minimal counterexample to theJacobian Conjecture P;Q with gcd(deg(P); deg(Q)) = 16 and show that its existence depends only on the existence of solutions for a certain Abel dierential equation of the second kind.