On the number of real forms of a complex variety

Gerard van der Geer, Xun Yu

Published: 2024/1/24

Abstract

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.

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