Generic positivity of the Beilinson-Bloch height
By Ziyang Gao
Appears in collection : Diophantine approximation and transcendence 2025 / Approximation diophantienne et transcendance 2025
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.
