Fonctions Régulues

Details Fonctions Régulues Fonctions Régulues

2011-12-16

arxiv.org/abs/1112.3800v1

Mathematics

Algebraic Geometry

In french. Version pr\'eliminaire, les commentaires sont bienvenus. 27 pages, 5 figures

Scientific paper

We study the ring of rational functions admitting a continuous extension to
the real affine space. We establish several properties of this ring. In
particular, we prove a strong Nullstelensatz. We also give a geometrical
characterization of prime ideals of this ring in terms of their zero-locus.

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