REAL FORMS OF MORI FIBER SPACES WITH MANY SYMMETRIES

Terpereau, Ronan; Zimmermann, Susanna

Document type :

Pré-publication ou Document de travail

Title :

REAL FORMS OF MORI FIBER SPACES WITH MANY SYMMETRIES

Author(s) :

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

HAL domain(s) :

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

English abstract : [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 $\mathrm{Bir}(\mathbb{P}_{\mathbb{C}}^{3})$. ...
Show more >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 $\mathrm{Bir}(\mathbb{P}_{\mathbb{R}}^{3})$.Show less >

Language :

Anglais

ANR Project :

Fibrations et actions de groupes algébriques

Collections :