AbstractBy a known case of the Jacobian conjecture, we give a simple elementary proof of the two dimensional complementary conjecture
The Jacobian conjecture over a field of characteristic zero is considered directly in view of the pa...
This is an expository article giving a modified version of my talk at the October 2006 Conference i...
LetF(F1,...,Fn)∈(C[X1,...,X n])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)X i+···+midi(Y)X i d ...
By a known case of the Jacobian conjecture, we give a simple elementary proof of the two dimensional...
AbstractLet k be a field of characteristic zero. The two-dimensional Jacobian conjecture states that...
AbstractThis paper contains conditions that are equivalent to the Jacobian Conjecture (JC) in two va...
We introduce and describe the Newton polyhedron related to a “minimal” counterexample to the Jacobia...
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...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
AbstractLet F = (f,g): k2 → k2 be a polynomial mapping over a field k, with f,g ϵ k[x, y]. The princ...
AbstractIn this paper we prove that the two variable case of the Jacobian Conjecture is equivalent t...
AbstractLetF≔(F1,…,Fn)∈(C[X1,…,Xn])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)Xi+···+midi(Y)Xid...
Let K[x, y] be the polynomial algebra in two variables over a field K of characteristic 0. A subalge...
We settle the following faded problem: The Jacobian Conjecture $(JC_n)$: If $f_1, \cdots, f_n$ are...
The Jacobian conjecture over a field of characteristic zero is considered directly in view of the pa...
This is an expository article giving a modified version of my talk at the October 2006 Conference i...
LetF(F1,...,Fn)∈(C[X1,...,X n])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)X i+···+midi(Y)X i d ...
By a known case of the Jacobian conjecture, we give a simple elementary proof of the two dimensional...
AbstractLet k be a field of characteristic zero. The two-dimensional Jacobian conjecture states that...
AbstractThis paper contains conditions that are equivalent to the Jacobian Conjecture (JC) in two va...
We introduce and describe the Newton polyhedron related to a “minimal” counterexample to the Jacobia...
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...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
AbstractLet F = (f,g): k2 → k2 be a polynomial mapping over a field k, with f,g ϵ k[x, y]. The princ...
AbstractIn this paper we prove that the two variable case of the Jacobian Conjecture is equivalent t...
AbstractLetF≔(F1,…,Fn)∈(C[X1,…,Xn])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)Xi+···+midi(Y)Xid...
Let K[x, y] be the polynomial algebra in two variables over a field K of characteristic 0. A subalge...
We settle the following faded problem: The Jacobian Conjecture $(JC_n)$: If $f_1, \cdots, f_n$ are...
The Jacobian conjecture over a field of characteristic zero is considered directly in view of the pa...
This is an expository article giving a modified version of my talk at the October 2006 Conference i...
LetF(F1,...,Fn)∈(C[X1,...,X n])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)X i+···+midi(Y)X i d ...