Applications of induced resultants to polynomial maps

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Let F(X, Y) be a two dimensional polynomial map over C. We show how to use the notion of induced resultants in order to give short and elementary proofs to the following three theorems: 1. If the Jacobian of F is a non-zero constant, then the image of F contains all of C2 except for a finite set. 2. If F is invertible, then the inverse map is determined by the free terms of the induced resultants. 3. If F is invertible, then the degree of F equals the degree of its inverse.

Original languageEnglish
Pages (from-to)181-187
Number of pages7
JournalIsrael Journal of Mathematics
StatePublished - 1 Jan 1999


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