On the number of real forms of a complex variety
Algebraic Geometry
2026-05-27 v3
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.
Cite
@article{arxiv.2401.13284,
title = {On the number of real forms of a complex variety},
author = {Gerard van der Geer and Xun Yu},
journal= {arXiv preprint arXiv:2401.13284},
year = {2026}
}
Comments
9 pages