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math.AG2022
Computing heights via limits of Hodge structures
Spencer Bloch, Robin de Jong, Emre Can Sertöz
We consider the problem of explicitly computing Beilinson--Bloch heights of homologically trivial cycles on varieties defined over number fields. Recent results have established a…
math.AG2022
Heights on curves and limits of Hodge structures
Spencer Bloch, Robin de Jong, Emre Can Sertöz
We exhibit a precise connection between Néron--Tate heights on smooth curves and biextension heights of limit mixed Hodge structures associated to smoothing deformations of singula…