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Dynamical Mordell–Lang conjecture for birational polynomial morphisms on \({\mathbb {A}}^2\)

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Abstract

We prove the dynamical Mordell–Lang conjecture for birational polynomial morphisms on \(\mathbb {A}^2\).

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Acknowledgments

I would like to thank C. Favre for his support and his direction during the writing of this article.

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Authors and Affiliations

  1. Centre de Mathématiques Laurent Schwartz École Polytechnique, 91128 , Palaiseau Cedex, France

    Junyi Xie

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  1. Junyi Xie
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Correspondence to Junyi Xie.

Additional information

J. Xie is supported by the ERC-starting grant project Nonarcomp no. 307856.

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Xie, J. Dynamical Mordell–Lang conjecture for birational polynomial morphisms on \({\mathbb {A}}^2\) . Math. Ann. 360, 457–480 (2014). https://doi.org/10.1007/s00208-014-1039-1

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  • DOI: https://doi.org/10.1007/s00208-014-1039-1

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