Recent developments of the Uniform Mordell-Lang Conjecture

Research output: Working paper/Preprint › Preprint

Authors

  • Ziyang Gao

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Original languageEnglish
Publication statusE-pub ahead of print - 7 Apr 2021

Abstract

This expository survey is based on my online talk at the ICCM 2020. It aims to sketch key steps of the recent proof of the uniform Mordell-Lang conjecture for curves embedded into Jacobians (a question of Mazur). The full version of this conjecture is proved by combining Dimitrov-Gao-Habegger (https://annals.math.princeton.edu/articles/17715) and K\"{u}hne (arXiv:2101.10272). We include in this survey a detailed proof on how to combine these two results, which was implicitly done in another short paper of Dimitrov-Gao-Habegger (arXiv:2009.08505) but not explicitly written in existing literature. At the end of the survey we state some future aspects.

Keywords

    math.NT, math.AG, 11G10, 11G50, 14G25, 14K15

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Recent developments of the Uniform Mordell-Lang Conjecture. / Gao, Ziyang.
2021.

Research output: Working paper/Preprint › Preprint

Gao Z. Recent developments of the Uniform Mordell-Lang Conjecture. 2021 Apr 7. Epub 2021 Apr 7. doi: 10.48550/arXiv.2104.03431
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