For genus-three Ceresa cycles the limit height of the nilpotent orbit equals the Deligne splitting of the associated boundary biextension mixed Hodge structure once the parameter is fixed.
Ceresa, C is not algebraically equivalent to C^- in its Jacobian
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Genus three Ceresa cycles and limit of archimedean heights
For genus-three Ceresa cycles the limit height of the nilpotent orbit equals the Deligne splitting of the associated boundary biextension mixed Hodge structure once the parameter is fixed.