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math.AG2014
A short and elementary proof of Jung's theorem
Christian Valqui, Jorge A. Guccione, Juan J. Guccione
We give a short and elementary proof of Jung's theorem, which states that for a field K of characteristic zero the automorphisms of K[x,y] are generated by elementary automorphisms…
math.AG2014★ 1 cited
A system of polynomial equations related to the Jacobian Conjecture
Jorge A. Guccione, Juan José Guccione, Christian Valqui
We prove that the Jacobian conjecture is false if and only if there exists a solution to a certain system of polynomial equations. We analyse the solution set of this system. In pa…