Abstract
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 ...
Abstract
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 properties under isogenies. For this we obtain a decomposition result for the arithmetic Chow group of independent interest.
Altmetric