Automorphisms of $\mathbb{P}^1$-bundles over rational surfaces
Authors: 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.
Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité; Funder: French National Research Agency (ANR); Code: ANR-17-EURE-0002
Algebraic subgroups of the Cremona groups; Funder: Swiss National Science Foundation; Code: 159921
Fibrations and algebraic group actions; Funder: French National Research Agency (ANR); Code: ANR-18-CE40-0003