1 citations · 2 across the 5 of their papers we have counts for
7 papers
Siegel's theorem on integral points and the Jacobian conjecture over the rational field
Nguyen Van Chau
It is shown that a polynomial map with has an inverse map in if the fiber contains an infinite subse…
A note on the plane Jacobian conjecture
Nguyen Van Chau
It is shown that every polynomial function with irreducible fibres of same a genus is a coordinate. In consequence, there does not exis…
Pencil of irreducible rational curves and Plane Jacobian conjecture
Nguyen Van Chau
We are concerned with the behavior of the polynomial maps of with finite fibres and satisfying the condition that all of the curves , $(a:b)\in \m…
Plane Jacobian Conjecture for rational polynomials
Nguyen Van Chau
A non-zero constant Jacobian polynomial maps of is invertible if and are rational polynomials.
Plane Jacobian conjecture for simple polynomials
Nguyen Van Chau
A non-zero constant Jacobian polynomial map has a polynomial inverse if the component is a simple polynomial, i.e. if, when…
A note on singularity and non-proper value set of polynomial maps of
Nguyen Van Chau
Some properties of the relation between the singular point set and the non-proper value curve of polynomial maps of are expressed in terms of Newton-Puiseux expansio…
Iterated Images and the Plane Jacobian Conjecture
Ronen Peretz, Nguyen Van Chau, Carlos Gutierrez +1
We show that the iterated images of a Jacobian pair stabilize; that is, the k-th iterates of a polynomial map of complex two-space to itself with a nonzero constant Jacobian determ…