Let V, W be algebraic subsets of , respectively, with n ≤ m. It is known that any finite polynomial mapping f: V → W can be extended to a finite polynomial mapping The main goal of this paper is to estimate from above the geometric degree of a finite extension of a dominating mapping f: V → W, where V and W are smooth algebraic sets.
@article{bwmeta1.element.bwnjournal-article-apmv75z1p79bwm,
author = {Kara\'s, Marek},
title = {Finite extensions of mappings from a smooth variety},
journal = {Annales Polonici Mathematici},
volume = {75},
year = {2000},
pages = {79-86},
zbl = {0962.14036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-apmv75z1p79bwm}
}
Karaś, Marek. Finite extensions of mappings from a smooth variety. Annales Polonici Mathematici, Tome 75 (2000) pp. 79-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv75z1p79bwm/
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