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 surfacesArticle

Authors: Jérémy Blanc ORCID; 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
    Funding:
      Source : OpenAIRE Graph
    • 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
    • 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

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