HAL : hal-00707355, version 1

arXiv : 1206.2518

Fiche détaillée

Récupérer au format BibTeX - EndNote - TEI - RefWorks -

From non-Kählerian surfaces to Cremona group of P^2(C)

Georges Dloussky 1

(12/06/2012)

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

1 :	Laboratoire d'Analyse, Topologie, Probabilités (LATP)
	CNRS : UMR6632 – Université de Provence - Aix-Marseille I – Université Paul Cézanne - Aix-Marseille III

Domaine

:

Mathématiques/Variables complexes

Mots Clés : compact complex surface – class VII – classification of surfaces – Cremona group – global spherical shell

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