Jérémy Blanc ; Andrea Fanelli ; Ronan Terpereau - Automorphisms of $\mathbb{P}^1$-bundles over rational surfaces

epiga:7603 - Épijournal de Géométrie Algébrique, January 6, 2023, Volume 6 - https://doi.org/10.46298/epiga.2023.volume6.7603
Automorphisms of $\mathbb{P}^1$-bundles over rational surfaces

Authors: 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.

Volume: Volume 6
Published on: January 6, 2023
Accepted on: January 6, 2023
Submitted on: June 18, 2021
Keywords: Mathematics - Algebraic Geometry,14E07, 14M17, 14M20, 14L30, 14J30, 14J60, 14D20
Fundings :
Source : OpenAIRE Graph
• Algebraic subgroups of the Cremona groups; Funder: Swiss National Science Foundation; Code: 159921

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