Applications of induced resultants to polynomial maps

被引：0
|
作者：
Ronen Peretz
机构：
[1] Ben Gurion University of the Negev,Department of Mathematics and Computer Sciences
来源：
Israel Journal of Mathematics | 1999年 / 109卷
关键词：
Level Curve; Great Common Divisor; Elementary Proof; Formal Expansion; Free Term;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
LetF(X, Y) be a two dimensional polynomial map overC. We show how to use the notion of induced resultants in order to give short and elementary proofs to the following three theorems:If the Jacobian of F is a non-zero constant, then the image of F contains all of C2 except for a finite set.If F is invertible, then the inverse map is determined by the free terms of the induced resultants.If F is invertible, then the degree of F equals the degree of its inverse.
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页码：181 / 187
页数：6
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