AbstractThe two-dimensional Jacobian conjecture states that given f and g in C[x, y], if the Jacobian ∂(f, g/∂(x, y) ϵ Cx, then the transformation (f, g): C x C → C x C is invertible. In this paper we give a proof of this under the further assumption that the degree of f or g has at most two prime factors
Abstract. The paper contains the formulation of the problem and an almost up-to-date survey of some ...
In Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for the case o...
Agraïments: FEDER-UNAB 10-4E-378. The two authors are also supported by a CAPES CSF-PVE grant 88881....
AbstractThis paper contains conditions that are equivalent to the Jacobian Conjecture (JC) in two va...
Suppose f(x, y), g(x, y) are two polynomials with complex coeffi-cients. The classical Jacobian Conj...
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
By a known case of the Jacobian conjecture, we give a simple elementary proof of the two dimensional...
AbstractIn this paper we prove that the two variable case of the Jacobian Conjecture is equivalent t...
AbstractLet F = (f,g): k2 → k2 be a polynomial mapping over a field k, with f,g ϵ k[x, y]. The princ...
AbstractLet k be a field of characteristic zero. The two-dimensional Jacobian conjecture states that...
In this note we give a short conceptual proof of the Jacobian conjecture in dimension 3 and degree 3...
Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y...
Abstract. The paper contains the formulation of the problem and an almost up-to-date survey of some ...
In Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for the case o...
Agraïments: FEDER-UNAB 10-4E-378. The two authors are also supported by a CAPES CSF-PVE grant 88881....
AbstractThis paper contains conditions that are equivalent to the Jacobian Conjecture (JC) in two va...
Suppose f(x, y), g(x, y) are two polynomials with complex coeffi-cients. The classical Jacobian Conj...
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
By a known case of the Jacobian conjecture, we give a simple elementary proof of the two dimensional...
AbstractIn this paper we prove that the two variable case of the Jacobian Conjecture is equivalent t...
AbstractLet F = (f,g): k2 → k2 be a polynomial mapping over a field k, with f,g ϵ k[x, y]. The princ...
AbstractLet k be a field of characteristic zero. The two-dimensional Jacobian conjecture states that...
In this note we give a short conceptual proof of the Jacobian conjecture in dimension 3 and degree 3...
Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y...
Abstract. The paper contains the formulation of the problem and an almost up-to-date survey of some ...
In Abhyankar's Purdue Lectures of 1971, the bivariate Jacobian Conjecture was settled for the case o...
Agraïments: FEDER-UNAB 10-4E-378. The two authors are also supported by a CAPES CSF-PVE grant 88881....
DOI
Add to ORKG