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.
Collino, Griffiths’ infinitesimal invariant and higher K-theory on hyperelliptic Jacobians, J.Algebraic Geom
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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.