Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657590 | Topology | 2008 | 39 Pages |
Abstract
We study 2-dimensional Jacobian maps using so-called Newton–Puiseux charts. These are multi-valued coordinates near divisors of resolutions of indeterminacies at infinity of the Jacobian map in the source space as well as in the target space. The map expressed in these charts takes a very simple form, which allows us to detect a series of new analytical and topological properties. We prove that the Jacobian Conjecture holds true for maps (f,g)(f,g) whose topological degree is ≤5≤5, for maps with gcd(degf,degg)≤16gcd(degf,degg)≤16 and for maps with. gcd(degf,degg)gcd(degf,degg) equal to 2 times a prime.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Henryk Żołądek,