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Elliptic curves with large intersection of projective torsion points

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Abstract

We construct pairs of elliptic curves over number fields with large intersection of projective torsion points.

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References

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Acknowledgements

The authors are grateful to Professor Kevin Ford for indicating Remark 2.2.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY, 10012, USA

    Fedor A. Bogomolov & Hang Fu

  2. Laboratory of Algebraic Geometry and its Applications, National Research University Higher School of Economics, 7 Vavilova Street, 117312, Moscow, Russia

    Fedor A. Bogomolov

Authors
  1. Fedor A. Bogomolov
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  2. Hang Fu
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Corresponding author

Correspondence to Hang Fu.

Additional information

F. A. Bogomolov was partially supported by the Russian Academic Excellence Project ‘5-100’, Simons Fellowship, and EPSRC Programme Grant EP/M024830. H. Fu was supported by the MacCracken Program offered by New York University.

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Bogomolov, F.A., Fu, H. Elliptic curves with large intersection of projective torsion points. European Journal of Mathematics 4, 555–560 (2018). https://doi.org/10.1007/s40879-017-0207-8

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  • DOI: https://doi.org/10.1007/s40879-017-0207-8

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