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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.volume6.7603Automorphisms of $\mathbb{P}^1$-bundles over rational surfacesArticle
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.
Comment: 47 pages, final version
Source: arXiv.org:1707.01462
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
Funding:
- Source : OpenAIRE Graph
- Funder: French National Research Agency (ANR); Code: ANR-17-EURE-0002
- Fibrations and algebraic group actions; Funder: French National Research Agency (ANR); Code: ANR-18-CE40-0003
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