2 papers
math.AG2026
Rank of normal functions and Betti strata
Ziyang Gao, Shou-Wu Zhang
In a recent work of the authors, we proved the generic positivity of the Beilinson-Bloch heights of the Gross-Schoen and Ceresa cycles. The geometric part of the proof was to prove…
math.NT2024
Heights of Ceresa and Gross-Schoen cycles
Ziyang Gao, Shou-Wu Zhang
We study the Beilinson-Bloch heights of Ceresa and Gross-Schoen cycles in families. We construct that for any , a Zariski open dense subset o…