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On the Set of Points at Infinity of a Polynomial Image of Rn

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Fernando Galván, José Francisco and Ueno, Carlos (2014) On the Set of Points at Infinity of a Polynomial Image of Rn. Discrete & computational geometry, 52 (4). pp. 583-611. ISSN 0179-5376

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Official URL: http://arxiv.org/pdf/1212.1811v3.pdf


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Abstract

In this work we prove that the set of points at infinity of a semialgebraic set that is the image of a polynomial map is connected. This result is no longer true in general if is a regular map. However, it still works for a large family of regular maps that we call quasi-polynomial maps.


Item Type:Article
Uncontrolled Keywords:Polynomial and regular maps and images; Quasi-polynomial maps; Set of points at infinity; Connectedness.
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:28337
Deposited On:12 Feb 2015 13:40
Last Modified:14 Jan 2016 18:11

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