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Real algebraic morphisms and Del Pezzo surfaces of degree 
Author(s):
Nuria
Joglar-Prieto;
Frédéric
Mangolte
Journal:
J. Algebraic Geom.
13
(2004),
269-285.
Posted:
September 24, 2003
Retrieve article in:
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Abstract |
References |
Additional information
Abstract:
Let  and  be affine nonsingular real algebraic varieties. A general problem in Real Algebraic Geometry is to try to decide when a smooth map  can be approximated by regular maps in the space of  mappings from  to  , equipped with the  topology. In this paper we give a complete solution to this problem when the target space is the standard 2-dimensional sphere and the source space is a geometrically rational real algebraic surface. The approximation result for real algebraic surfaces rational over  is due to J. Bochnak and W. Kucharz. Here we give a detailed description of the more interesting case, namely real Del Pezzo surfaces of degree 2.
References:
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Additional Information:
Nuria
Joglar-Prieto
Affiliation:
ITIS CES Felipe II, Universidad Complutense de Madrid, C/Capitán 39, 28300 Aranjuez Madrid, Spain
Email:
njoglar@cesfelipesegundo.com
Frédéric
Mangolte
Affiliation:
Laboratoire de Mathématiques, Université de Savoie, 73376 Le Bourget du Lac Cedex, France
Email:
mangolte@univ-savoie.fr
PII:
S 1056-3911(03)00344-8
Received by editor(s):
October 1, 2001
Posted:
September 24, 2003
Additional Notes:
The first author was supported by a Marie Curie Postdoctoral Fellowship (number HPMF-CT-1999-00019) at the Department of Mathematics at the Vrije Universiteit, Amsterdam
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