Guido Kings, Damian Rössler
Published 2014-12-09Version 1
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-K\"ohler higher analytic torsion form of the Poincar\'e bundle.
The Maillot-Rössler current and the polylogarithm on abelian schemes
Trace of abelian varieties over function fields and the geometric Bogomolov conjecture
Local to global principles for homomorphisms of abelian schemes
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