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| Detailed view | Preprint, Working Paper, ... |
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| Available versions: | v1 (2011-12-16) | v2 (2012-07-04) | v3 (2013-05-10) |
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| Fonctions Régulues |
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| Goulwen Fichou1Johannes Huisman2Frédéric Mangolte3Jean-Philippe Monnier3 |
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| 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. |
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| 1: | IRMAR - Institut de Recherche Mathématique de Rennes |
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| 2: | LM - Laboratoire de mathématiques de Brest |
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| 3: | LAREMA - Laboratoire Angevin de REcherche en MAthématiques |
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| Géométrie algébrique réelle |
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| hal-00652828, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00652828 | |
| oai:hal.archives-ouvertes.fr:hal-00652828 | |
| From: Frédéric Mangolte | |
| Submitted on: Wednesday, 4 July 2012 12:28:35 | |
| Updated on: Wednesday, 4 July 2012 13:21:25 | |
