Publikationsdetails

ICCM22: proceedings of the 2019 International Conference on Composite Materials

Verfasst von

Ziyang Gao

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.

Details

Organisationseinheit(en)
Institut für Algebra, Zahlentheorie und Diskrete Mathematik
Typ
Aufsatz in Konferenzband
Publikationsdatum
11.08.2019
Publikationsstatus
Veröffentlicht
Elektronische Version(en)
https://doi.org/10.48550/arXiv.2104.03431 (Zugang: Offen )
PDF
PDF