AbstractIn Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for the case of two plus epsilon characteristic pairs. In the published version, the epsilon part got left out. Now we take care of the omission by preparing for a sharper result with full proof in Part III. The Jacobian Method is applied to giving a new simple proof of Jung's Automorphism Theorem. A detailed description of the Degreewise Newton Polygon is given. Some thoughts on the multivariate Jacobian Conjecture are included
AbstractBy a known case of the Jacobian conjecture, we give a simple elementary proof of the two dim...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
AbstractIn this paper we prove that the two variable case of the Jacobian Conjecture is equivalent t...
In Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for the case o...
AbstractIn Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for th...
AbstractIn Abhyankar's Purdue lectures of 1971, the bivariate Jacobian Conjecture was settled for th...
In Abhyankar's Purdue lectures of 1971, the bivariate Jacobian Conjecture was settled for the case o...
This is an expository article giving a modified version of my talk at the October 2006 Conference i...
AbstractThis paper contains conditions that are equivalent to the Jacobian Conjecture (JC) in two va...
AbstractA pair of elements f, g ∈ C [i,y] is a jacobian pair if (∂f∂x)(∂g∂y) − (∂f∂y)(∂g∂x) is a non...
Abstract. This revised version of Abhyankar's old lecture notes contains the original proof of ...
We introduce and describe the Newton polyhedron related to a “minimal” counterexample to the Jacobia...
This revised version of Abhyankar's old lecture notes contains the original proof of the Galois case...
We consider the affine varieties which arise by considering invertible polynomial maps from ℂ² to it...
AbstractLet k be a field of characteristic zero. The two-dimensional Jacobian conjecture states that...
AbstractBy a known case of the Jacobian conjecture, we give a simple elementary proof of the two dim...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
AbstractIn this paper we prove that the two variable case of the Jacobian Conjecture is equivalent t...
In Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for the case o...
AbstractIn Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for th...
AbstractIn Abhyankar's Purdue lectures of 1971, the bivariate Jacobian Conjecture was settled for th...
In Abhyankar's Purdue lectures of 1971, the bivariate Jacobian Conjecture was settled for the case o...
This is an expository article giving a modified version of my talk at the October 2006 Conference i...
AbstractThis paper contains conditions that are equivalent to the Jacobian Conjecture (JC) in two va...
AbstractA pair of elements f, g ∈ C [i,y] is a jacobian pair if (∂f∂x)(∂g∂y) − (∂f∂y)(∂g∂x) is a non...
Abstract. This revised version of Abhyankar's old lecture notes contains the original proof of ...
We introduce and describe the Newton polyhedron related to a “minimal” counterexample to the Jacobia...
This revised version of Abhyankar's old lecture notes contains the original proof of the Galois case...
We consider the affine varieties which arise by considering invertible polynomial maps from ℂ² to it...
AbstractLet k be a field of characteristic zero. The two-dimensional Jacobian conjecture states that...
AbstractBy a known case of the Jacobian conjecture, we give a simple elementary proof of the two dim...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
AbstractIn this paper we prove that the two variable case of the Jacobian Conjecture is equivalent t...