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arXiv · 2106.05687

Smooth complex projective rational surfaces with infinitely many real forms

Tien-Cuong Dinh·Keiji Oguiso·Xun Yu
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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.

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Tien-Cuong Dinh, Keiji Oguiso, Xun Yu. 2021-06-10. Smooth complex projective rational surfaces with infinitely many real forms. https://arxiv.org/abs/2106.05687

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