Smooth complex projective rational surfaces with infinitely many real forms
Algebraic Geometry
2022-11-29 v3
Abstract
We construct a smooth complex projective rational surface with infinitely many mutually non-isomorphic real forms. This gives the first definite answer to a long standing open question if a smooth complex projective rational surface has only finitely many non-isomorphic real forms or not.
Cite
@article{arxiv.2106.05687,
title = {Smooth complex projective rational surfaces with infinitely many real forms},
author = {Tien-Cuong Dinh and Keiji Oguiso and Xun Yu},
journal= {arXiv preprint arXiv:2106.05687},
year = {2022}
}
Comments
final form to appear in J. Reine Angew. Math