Geodesic
Finite extensions of mappings from a smooth variety
Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 79-86 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Let V, W be algebraic subsets of $k^n$, $k^m$ respectively, with n ≤ m. It is known that any finite polynomial mapping f: V → W can be extended to a finite polynomial mapping $F: k^{n} → k^{m}.$ The main goal of this paper is to estimate from above the geometric degree of a finite extension $F: k^n → k^n$ of a dominating mapping f: V → W, where V and W are smooth algebraic sets.
DOI : 10.4064/ap-75-1-79-86
Keywords: finite extension, geometric degree, finite mapping

Marek Karaś 1

1 
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Marek Karaś. Finite extensions of mappings from a smooth variety. Annales Polonici Mathematici, Tome 75 (2000) no. 1, pp. 79-86. doi: 10.4064/ap-75-1-79-86

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