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| HAL : hal-00707355, version 1 |
| arXiv : 1206.2518 |
| Fiche détaillée |  Récupérer au format |
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| From non-Kählerian surfaces to Cremona group of P^2(C) |
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| Georges Dloussky 1 |
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| (12/06/2012) |
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| For any minimal compact complex surface $S$ with $b_2(S)>0$ containing global spherical shells (GSS) there exists a family of surfaces $\cal S\to B$ with GSS which contains as fibers $S$, some Inoue-Hirzebruch surface and non minimal surfaces, such that blown up points are generically effective parameters. These families are versal outside a non empty hypersurface $T\subset B$. In case of surfaces with a cycle and one tree of rational curves we give new normal forms of contracting germs in Cremona group $Bir(\bb P^2(\bb C))$ and show that they admit a birational structure. These families contain all possible surfaces, in particular all surfaces $S$ with GSS and $0 |
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| 1 : | Laboratoire d'Analyse, Topologie, Probabilités (LATP) |
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CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III |
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| Domaine | : | Mathématiques/Variables complexes |
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| compact complex surface – class VII – classification of surfaces – Cremona group – global spherical shell |
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| hal-00707355, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00707355 | |
| oai:hal.archives-ouvertes.fr:hal-00707355 | |
| Contributeur : Georges Dloussky | |
| Soumis le : Mardi 12 Juin 2012, 15:11:21 | |
| Dernière modification le : Mardi 12 Juin 2012, 15:17:44 | |
