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Increasing the degree of a possible counterexample to the Jacobian Conjecture from 100 to 108
Jorge Alberto Guccione, Juan José Guccione, Rodrigo Horruitiner +1
We list all the pairs with for any hypothetical counterexample to the plane Jacobian Conjecture and discard them all, except the pair…
Classification of affine normal -varieties with a dense orbit
Andres Fernandez Herrero, Rodrigo Horruitiner
In this note we give a classification of all affine normal -varieties containing an open dense orbit over an algebraically closed field of characteristic zero. Such a classif…
The Jacobian Conjecture: Approximate roots and intersection numbers
Jorge Alberto Guccione, Juan José Guccione, Rodrigo Horruitiner +1
We translate the results of Yansong Xu into the language of~\cite{GGV1}, obtaining nearly the same formulas for the intersection number of Jacobian pairs, but with an inequality in…