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Supersimplicity and quadratic extensions

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Abstract

An elliptic curve over a supersimple field with exactly one extension of degree 2 has an s-generic point.

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Author notes

  1. A. Martin-Pizarro & F. O. Wagner

    Present address: Université de Lyon, Université Lyon 1, Institut Camille Jordan UMR 5208 CNRS, 43 boulevard du 11 novembre 1918, 69622, Villeurbanne Cedex, France

Authors and Affiliations

  1. Institut für Mathematik, Humboldt-Universität zu Berlin, 10099, Berlin, Germany

    A. Martin-Pizarro

Authors
  1. A. Martin-Pizarro
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  2. F. O. Wagner
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Corresponding author

Correspondence to A. Martin-Pizarro.

Additional information

A. Martin-Pizarro would like to express his gratitude to the organisation of the Florida Logic year, in which he took part.

Martin-Pizarro research was supported by a DFG-Forschungsstipendium MA3310/1-1.

F. O. Wagner is a Membre junior de l’Institut Universitaire de France.

Work done during the semester on Model Theory and Applications in Algebra and Analysis at the Isaac Newton Institute for the Mathematical Sciences, whose hospitality is gratefully acknowledged.

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Martin-Pizarro, A., Wagner, F.O. Supersimplicity and quadratic extensions. Arch. Math. Logic 48, 55–61 (2009). https://doi.org/10.1007/s00153-008-0115-1

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