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We give a simple axiomatic description of the degree 0 part of the polylogarithm on abelian schemes and show that its realisation in analytic Deligne cohomology can be described in terms of the Bismut–Kohler higher analytic torsion form of the Poincare bundle.

Higher Analytic Torsion, Polylogarithms and Norm Compatible Elements on Abelian Schemes