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Smooth rational affine varieties with infinitely many real forms

  • Adrien Dubouloz EMAIL logo , Gene Freudenburg and Lucy Moser-Jauslin
Published/Copyright: July 11, 2020

Abstract

We construct smooth rational real algebraic varieties of every dimension 4 which admit infinitely many pairwise non-isomorphic real forms.


In memory of Mariusz Koras


Award Identifier / Grant number: ANR-l5-IDEX-0008

Funding statement: This work received support from the French “Investissements d’Avenir” program, project ISITE-BFC (contract ANR-l5-IDEX-0008).

Acknowledgements

The main ideas of the present article were discussed between the authors at the occasion of the conference “Algebraic Geometry – Mariusz Koras in memoriam” held at the IMPAN, Warsaw in May 2018. We are grateful to the organizers of the conference for giving us the opportunity to have such discussions and to the IMPAN for its support and hospitality.

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Received: 2020-04-30
Revised: 2020-06-10
Published Online: 2020-07-11
Published in Print: 2021-02-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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