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Nodal Enriques surfaces are Reye congruences

  • Gebhard Martin ORCID logo , Giacomo Mezzedimi ORCID logo EMAIL logo and Davide Cesare Veniani ORCID logo

Abstract

We show that every classical Enriques surface containing a smooth rational curve is a Reye congruence.

Funding statement: G. Mezzedimi is funded by the Hausdorff Center for Mathematics, Bonn (Germany’s Excellence Strategy – EXC-2047/1-390685813).

Acknowledgements

We thank Igor Dolgachev for helpful comments on a first draft of this article. We are grateful to the anonymous referees for their insightful suggestions that improved and simplified several arguments in the paper.

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Received: 2023-07-24
Revised: 2023-10-30
Published Online: 2024-01-02
Published in Print: 2024-03-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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