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math.AC2014
The Groebner basis of a polynomial system
Christian Valqui, Marco Solorzano
We compute the Groebner basis of a system of polynomial equations related to the Jacobian conjecture using a recursive formula for the Catalan numbers.
math.AC2014★ 6 cited
On the shape of possible counterexamples to the Jacobian Conjecture
Jorge A. Guccione, Juan J. Guccione, Christian Valqui
We improve the algebraic methods of Abhyankar for the Jacobian Conjecture in dimension two and describe the shape of possible counterexamples. We give an elementary proof of the re…