Fonctions Régulues
arXiv:1112.3800 · doi:10.1515/crelle-2014-0034
Abstract
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 study the scheme theoretic properties and prove regulous versions of Theorems A and B of Cartan. We also give a geometrical characterization of prime ideals of this ring in terms of their zero-locus and relate them to euclidean closed Zariski-constructible sets.
In french. 49 pages, 6 figures, Journal für die reine und angewandte Mathematik (2014) To appear
References in corpus (1)
Cited by in corpus (7)
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