Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes
Algebraic Geometry
2014-12-18 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1412.2925,
title = {Higher analytic torsion, polylogarithms and norm compatible elements on abelian schemes},
author = {Guido Kings and Damian Rössler},
journal= {arXiv preprint arXiv:1412.2925},
year = {2014}
}