Applications of induced resultants to polynomial maps
Using the concept of induced resultants for polynomial endomorphisms \(F\) of the affine complex plane \(\mathbb{C}^2\), the author gives simpler proofs of the following facts: Fact 1. If the Jacobian of the map \(F\) is a non-zero constant, then the image of \(F\) misses at most a finite subset of \(\mathbb{C}^2\). Fact 2. If the map \(F\) is invertible, then its inverse is determined by the induced resultants. Fact 3. If the map \(F\) is invertible, then the degree of the map \(F\) is equal to the degree of its inverse.
scientific article; zbMATH DE number 1286705