Fonctions Régulues
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2011
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| Subjects: | |
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| _version_ | 1866915298957852672 |
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| author | Fichou, Goulwen Huisman, Johannes Mangolte, Frédéric Monnier, Jean-Philippe |
| author_facet | Fichou, Goulwen Huisman, Johannes Mangolte, Frédéric Monnier, Jean-Philippe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1112_3800 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Fonctions Régulues Fichou, Goulwen Huisman, Johannes Mangolte, Frédéric Monnier, Jean-Philippe Algebraic Geometry 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. |
| title | Fonctions Régulues |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1112.3800 |