Polynomial and regular images of R-n



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Fernando Galván, José Francisco and Gamboa, J. M. (2006) Polynomial and regular images of R-n. Israel Journal of Mathematics, 153 . pp. 61-92. ISSN 0021-2172

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Official URL: http://www.springerlink.com/content/0021-2172/


We obtain new necessary conditions for an n-dimensional semialgebraic subset of R-n to be a polynomial image of R-n. Moreover, we prove that a large family of planar bidimensional semialgebraic sets with piecewise linear boundary are images of polynomial or regular maps, and we estimate in both cases the dimension of their generic fibers.

Item Type:Article
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:15144
Deposited On:09 May 2012 10:46
Last Modified:09 Aug 2018 07:44

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