On the affine Bezout inequality (Q1911215)
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scientific article; zbMATH DE number 866164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the affine Bezout inequality |
scientific article; zbMATH DE number 866164 |
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On the affine Bezout inequality (English)
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5 June 1996
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The aim of the paper is to give an elementary proof of the so-called affine Bézout inequality: ``The set in \(\overline k^n\) of all common zeroes of the polynomials \(f_1, \dots, f_n \in k[X_1, \dots, X_n]\) is either infinite or has at most \((\deg f_1) \dots (\deg f_n)\) elements \((\overline k\) indicating the algebraic closure of the field \(k)\)''.
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Renegar's \(U\)-resultant
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affine Bézout inequality
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