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Pré-Publication, Document De Travail Année : 2024

REAL FORMS OF MORI FIBER SPACES WITH MANY SYMMETRIES

Ronan Terpereau
Susanna Zimmermann
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Résumé

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 $\mathrm{Bir}(\mathbb{P}_{\mathbb{R}}^{3})$.
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Dates et versions

hal-04522630 , version 1 (26-03-2024)

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  • HAL Id : hal-04522630 , version 1

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Ronan Terpereau, Susanna Zimmermann. REAL FORMS OF MORI FIBER SPACES WITH MANY SYMMETRIES. 2024. ⟨hal-04522630⟩
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