Kings, Guido and Scarponi, Danny (2019) The Maillot-Rossler current and the polylogarithm on abelian schemes. ALGEBRA & NUMBER THEORY, 13 (2). pp. 501-511. ISSN 1937-0652, 1944-7833
Full text not available from this repository. (Request a copy)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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; abelian polylogarithm; arithmetic Chow groups; Arakelov geometry; Deligne cohomology |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Guido Kings |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Apr 2020 11:24 |
| Last Modified: | 27 Apr 2020 11:24 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27837 |
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