2 citations · 3 across the 7 of their papers we have counts for
7 papers
Integral points on plane curves and Plane Jacobian Conjecture over number fields
Nguyen Van Chau
Let be a number field and the ring of integers of . In the spirit of Siegel's theorem on integral points on affine algebraic curves, the plane Jacobian conjecture over…
Plane Jacobian problem for rational polynomials
Nguyen Van Chau
This paper has been withdrawn by the author due to a crucial error in the last lines in the proof of Lemma 3.3.
Integer points on a curve and the plane Jacobian problem
Nguyen Van Chau
A polynomial map with Jacobian has a polynomial inverse of integer coefficients if the complex plane curve P=0 has infinitely ma…
A Simple Proof of Jung's Theorem on Polynomial Automorphisms of $\C^2$
Nguyen Van Chau
The Automorphism Theorem, discovered first by Jung in 1942, asserts that if is a field, then every polynomial automorphism of is a finite product of linear automorphisms…
Two remarks on non-zero constant Jacobian polynomial map of
Nguyen van Chau
We present some estimations on geometry of the exceptional value sets of non-zero constant Jacobian polynomial maps of $\C^2$ and it's components.
Non-proper value set and the Jacobian condition
Nguyen Van Chau
The non-proper value set of a nonsingular polynomial map from $\C^2$ into itself, if non-empty, must be a curve with one point at infinity.