REAL FORMS OF MORI FIBER SPACES WITH MANY SYMMETRIES

Terpereau, Ronan; Zimmermann, Susanna

Type de document :

Pré-publication ou Document de travail

Titre :

REAL FORMS OF MORI FIBER SPACES WITH MANY SYMMETRIES

Auteur(s) :

Terpereau, Ronan [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Zimmermann, Susanna [Auteur]
Laboratoire de Mathématiques d'Orsay [LMO]

Discipline(s) HAL :

Mathématiques [math]/Géométrie algébrique [math.AG]

Résumé en anglais : [en]

We determine the rational real forms of the complex Mori fiber spaces for which the identity component of the automorphism group is a maximal connected algebraic subgroup of $\mathrm{Bir}(\mathbb{P}_{\mathbb{C}}^{3})$. ...
Lire la suite >We determine the rational real forms of the complex Mori fiber spaces for which the identity component of the automorphism group is a maximal connected algebraic subgroup of $\mathrm{Bir}(\mathbb{P}_{\mathbb{C}}^{3})$. This yields a list of maximal connected algebraic subgroup of $\mathrm{Bir}(\mathbb{P}_{\mathbb{R}}^{3})$. We furthermore determine the equivariant Sarkisov links starting from these rational real forms. This article is the first step towards classifying all the maximal connected algebraic subgroups of $\mathrm{Bir}(\mathbb{P}_{\mathbb{R}}^{3})$.Lire moins >

Langue :

Anglais

Projet ANR :

Fibrations et actions de groupes algébriques

Collections :