Heights of Ceresa and Gross-Schoen cycles
Abstract
We study the Beilinson-Bloch heights of Ceresa and Gross-Schoen cycles in families. We construct that for any g 3, a Zariski open dense subset Mgamp of Mg, the coarse moduli of curves of genus g over Q, such that the heights of Ceresa cycles and Gross-Schoen cycles over Mgamp have a lower bound and satisfy the Northcott property.
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