Automorphisms of $\mathbb{P}^1$-bundles over rational surfacesArticleAuteurs : Jérémy Blanc

; Andrea Fanelli ; Ronan Terpereau
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Jérémy Blanc;Andrea Fanelli;Ronan Terpereau
In this paper we provide the complete classification of $\mathbb{P}^1$-bundles over smooth projective rational surfaces whose neutral component of the automorphism group is maximal. Our results hold over any algebraically closed field of characteristic zero.
Comment: 47 pages, final version
Volume : Volume 6
Publié le : 6 janvier 2023
Accepté le : 6 janvier 2023
Soumis le : 18 juin 2021
Mots-clés : Mathematics - Algebraic Geometry, 14E07, 14M17, 14M20, 14L30, 14J30, 14J60, 14D20
Financement :
Source : OpenAIRE Graph- Financeur: French National Research Agency (ANR); Code: ANR-17-EURE-0002
- Fibrations and algebraic group actions; Financeur: French National Research Agency (ANR); Code: ANR-18-CE40-0003