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arXiv · 2401.13284

On the number of real forms of a complex variety

Gerard van der Geer·Xun Yu
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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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Gerard van der Geer, Xun Yu. 2024-01-24. On the number of real forms of a complex variety. https://doi.org/10.46298/epiga.2025.12968

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