Abstract. All counterexamples of Pinchuk type to the strong real Jacobian conjecture are shown to have rational function field extensions of degree six with no nontrivial automorphisms. 1
We estimate the proportion of function fields satisfying certain conditions which imply a function f...
In this paper we present a theorem concerning an equivalent statement of the Jacobian Conjecture in ...
Let k be a number field, X a smooth curve over k, and f a non-constant element of the function field...
Abstract. Implementations of known reductions of the Strong Real Jacobian Conjecture (SRJC), to the ...
Jacobian conjectures (that nonsingular implies a global inverse) for rational everywhere defined map...
Abstract. The asymptotic variety of a counterexample of Pinchuk type to the strong real Jacobian con...
AbstractThe asymptotic variety of a counterexample of Pinchuk type to the strong real Jacobian conje...
AbstractIn this paper we give a geometric proof for a version of the Pinchuk solution of the Strong ...
Let F : 'R POT.N' → 'R POT.N' be a polynomial local diffeomorphism and let 'S IND.F' denote the set ...
Let F be a totally real number field of degree n, and let H be a finite abelian extension of F. Let ...
The Fatou conjecture (or the HD conjecture) asserts that any rational function can be approximated b...
Abstract. We study the Gross Conjecture on the cyclotomic function field extension k(Λf)/k where k =...
The family of Stickelberger elements associated to certain abelian extensions over global rational f...
In this article we recall how to describe the twists of a curve over a finite field and we show how ...
In this short note we confirm the relation between the generalized abc-conjecture and the p-rational...
We estimate the proportion of function fields satisfying certain conditions which imply a function f...
In this paper we present a theorem concerning an equivalent statement of the Jacobian Conjecture in ...
Let k be a number field, X a smooth curve over k, and f a non-constant element of the function field...
Abstract. Implementations of known reductions of the Strong Real Jacobian Conjecture (SRJC), to the ...
Jacobian conjectures (that nonsingular implies a global inverse) for rational everywhere defined map...
Abstract. The asymptotic variety of a counterexample of Pinchuk type to the strong real Jacobian con...
AbstractThe asymptotic variety of a counterexample of Pinchuk type to the strong real Jacobian conje...
AbstractIn this paper we give a geometric proof for a version of the Pinchuk solution of the Strong ...
Let F : 'R POT.N' → 'R POT.N' be a polynomial local diffeomorphism and let 'S IND.F' denote the set ...
Let F be a totally real number field of degree n, and let H be a finite abelian extension of F. Let ...
The Fatou conjecture (or the HD conjecture) asserts that any rational function can be approximated b...
Abstract. We study the Gross Conjecture on the cyclotomic function field extension k(Λf)/k where k =...
The family of Stickelberger elements associated to certain abelian extensions over global rational f...
In this article we recall how to describe the twists of a curve over a finite field and we show how ...
In this short note we confirm the relation between the generalized abc-conjecture and the p-rational...
We estimate the proportion of function fields satisfying certain conditions which imply a function f...
In this paper we present a theorem concerning an equivalent statement of the Jacobian Conjecture in ...
Let k be a number field, X a smooth curve over k, and f a non-constant element of the function field...