Diophantine approximation and transcendence 2025 / Approximation diophantienne et transcendance 2025

Collection Diophantine approximation and transcendence 2025 / Approximation diophantienne et transcendance 2025

Organizer(s) Bugeaud, Yann ; Demarco, Laura ; Gaudron, Eric ; Habegger, Philipp

Date(s) 10/11/2025 - 14/11/2025

linked URL https://conferences.cirm-math.fr/3367.html

00:00:00 / 00:00:00

6 6

Generic positivity of the Beilinson-Bloch height

In this talk, I will explain a generic positivity result of the Beilinson-Bloch heightof Gross-Schoen and Ceresa cycles. We prove that given any number field K, the GrossSchoen/Ceresa cycle associated with a generic curve has non-negative Beilinson-Bloch height. We obtain this result as a consequence of a Northcott property. This is joint work with Shouwu Zhang.

Information about the video

Date of recording 13/11/2025
Date of publication 26/11/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20403003
Cite this video Gao, Ziyang (13/11/2025). Generic positivity of the Beilinson-Bloch height. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20403003
URL https://dx.doi.org/10.24350/CIRM.V.20403003

Domain(s)

Bibliography

GAO, Ziyang et ZHANG, Shou-Wu. Heights and periods of algebraic cycles in families. arXiv preprint arXiv:2407.01304, 2024. - https://doi.org/10.48550/arXiv.2407.01304

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