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The Maillot–Rössler current and the polylogarithm on abelian schemes

Kings, Guido ; Scarponi, Danny


We give a structural proof of the fact that the realization of the degree-zero part of the polylogarithm on abelian schemes in analytic Deligne cohomology can be described in terms of the Bismut-Kohler higher analytic torsion form of the Poincare bundle. Furthermore, we provide a new axiomatic characterization of the arithmetic Chern character of the Poincare bundle using only invariance ...


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