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Non-archimedean entire curves in closed subvarieties of semi-abelian varieties

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We prove a non-archimedean analogue of the fact that a closed subvariety of a semi-abelian variety is hyperbolic modulo its special locus, and thereby generalize a result of Cherry.

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Acknowledgements

The author would like to thank Ariyan Javanpeykar for suggesting the problem, for many helpful conversations, and for sending a preliminary version of [22], which helped in writing Section 2. The author extends his thanks to Alberto Vezzani and David Zureick-Brown for useful discussions. The author also thanks Lea Beneish for comments on an earlier draft. Finally, the author thanks the anonymous referee for their comments.

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  1. Department of Mathematics, Emory University, Atlanta, GA, 30322, USA

    Jackson S. Morrow

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  1. Jackson S. Morrow
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Correspondence to Jackson S. Morrow.

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Communicated by Wei Zhang.

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Morrow, J.S. Non-archimedean entire curves in closed subvarieties of semi-abelian varieties. Math. Ann. 379, 1003–1010 (2021). https://doi.org/10.1007/s00208-020-02051-z

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