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math.AG2022★ 1 cited
Rings of tautological forms on moduli spaces of curves
Robin de Jong, Stefan van der Lugt
We define and study a natural system of tautological rings on the moduli spaces of marked curves at the level of differential forms. We show that certain 2-forms obtained from the…
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…