The Asymptotic Variety of a Pinchuk Map as a Polynomial Curve

TL;DR

This paper explicitly describes the asymptotic variety of a Pinchuk map, a counterexample to the strong real Jacobian conjecture, using low degree polynomial equations.

Contribution

It provides an explicit polynomial description of the asymptotic variety for a specific counterexample to the Jacobian conjecture.

Findings

Asymptotic variety characterized by low degree polynomials

Explicit polynomial equations for the variety

Advances understanding of counterexamples to the Jacobian conjecture

Abstract

The asymptotic variety of a counterexample of Pinchuk type to the strong real Jacobian conjecture is explicitly described by low degree polynomials.