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The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne–Beilinson cohomology

Scarponi, Danny



Abstract

In 2014, Kings and Rossler showed that the realization of the degree zero part of the abelian polylogarithm in analytic Deligne cohomology can be described in terms of a class of currents which was previously defined by Maillot and Rossler and strongly related to the Bismut-Kohler higher torsion form of the Poincare bundle. In this paper we show that, if the base of the abelian scheme is proper, ...

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