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Geometric Bogomolov conjecture in arbitrary characteristics

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We give a proof of the full geometric Bogomolov conjecture.

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Acknowledgements

The authors would like to thank the support of the China-Russia Mathematics Center during the preparation of this paper. The second-named author would also like to thank the hospitality of Shandong University, Qingdao for a workshop in July 2021. The authors are particularly thankful to Kazuhiko Yamaki for his careful readings of a first version of this work. The authors are grateful to the anonymous referee for tremendous efforts to make the exposition more accessible to a broad range of readers.

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  1. Beijing International Center for Mathematical Research, Peking University, Beijing, 100871, China

    Junyi Xie & Xinyi Yuan

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  1. Junyi Xie
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  2. Xinyi Yuan
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Correspondence to Junyi Xie.

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Xie, J., Yuan, X. Geometric Bogomolov conjecture in arbitrary characteristics. Invent. math. 229, 607–637 (2022). https://doi.org/10.1007/s00222-022-01112-1

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