The Maillot–Rössler current and the polylogarithm on abelian schemes

Kings, Guido; Scarponi, Danny

doi:10.2140/ant.2019.13.501

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Form

Policies for Authors

Ethics Statement

ISSN: 1944-7833 (e-only)

ISSN: 1937-0652 (print)

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

The Maillot–Rössler current and the polylogarithm on abelian schemes

Guido Kings and Danny Scarponi

Vol. 13 (2019), No. 2, 501–511

DOI: 10.2140/ant.2019.13.501

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–Köhler higher analytic torsion form of the Poincaré bundle. Furthermore, we provide a new axiomatic characterization of the arithmetic Chern character of the Poincaré bundle using only invariance properties under isogenies. For this we obtain a decomposition result for the arithmetic Chow group of independent interest.

PDF Access Denied

We have not been able to recognize your IP address 18.218.138.170 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

abelian polylogarithm, arithmetic Chow groups, Arakelov geometry, Deligne cohomology

Mathematical Subject Classification 2010

Primary: 11G55

Secondary: 14G40

Milestones

Received: 20 March 2018

Revised: 2 September 2018

Accepted: 10 November 2018

Published: 2 March 2019

Authors

Guido Kings
Fakultät für Mathematik Universität Regensburg Regensburg Germany

Danny Scarponi
King’s College London London United Kingdom

Vol. 13, No. 2, 2019