Gerard van der Geer ; Xun Yu - On the number of real forms of a complex variety

epiga:12968 - Épijournal de Géométrie Algébrique, 11 septembre 2025, Volume 9 - https://doi.org/10.46298/epiga.2025.12968
On the number of real forms of a complex varietyArticle

Auteurs : Gerard van der Geer ; Xun Yu

    We give a bound on the number of weighted real forms of a complex variety with finite automorphism group, where the weight is the inverse of the number of automorphisms of the real form. We give another bound involving the Sylow 2-subgroup and as an application we give bounds on real forms of plane curves.

    9 pages


    Volume : Volume 9
    Publié le : 11 septembre 2025
    Accepté le : 9 février 2025
    Soumis le : 31 janvier 2024
    Mots-clés : Algebraic Geometry