The group of automorphisms of a real rational surface is n-transitive
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2007
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| _version_ | 1866909620044300288 |
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| author | Huisman, Johannes Mangolte, Frédéric |
| author_facet | Huisman, Johannes Mangolte, Frédéric |
| contents | Let X be a rational nonsingular compact connected real algebraic surface. Denote by Aut(X) the group of real algebraic automorphisms of X. We show that the group Aut(X) acts n-transitively on X, for all natural integers n. As an application we give a new and simpler proof of the fact that two rational nonsingular compact connected real algebraic surfaces are isomorphic if and only if they are homeomorphic as topological surfaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0708_3992 |
| institution | arXiv |
| publishDate | 2007 |
| record_format | arxiv |
| spellingShingle | The group of automorphisms of a real rational surface is n-transitive Huisman, Johannes Mangolte, Frédéric Algebraic Geometry 14P25, 14E07 Let X be a rational nonsingular compact connected real algebraic surface. Denote by Aut(X) the group of real algebraic automorphisms of X. We show that the group Aut(X) acts n-transitively on X, for all natural integers n. As an application we give a new and simpler proof of the fact that two rational nonsingular compact connected real algebraic surfaces are isomorphic if and only if they are homeomorphic as topological surfaces. |
| title | The group of automorphisms of a real rational surface is n-transitive |
| topic | Algebraic Geometry 14P25, 14E07 |
| url | https://arxiv.org/abs/0708.3992 |