Realisation de Hodge du polylogarithme d'un schema abelien
| dc.creator | Blottiere, David | |
| dc.date | 2007-05-07 | |
| dc.date | 2008-05-02 | |
| dc.date.accessioned | 2026-07-07T09:36:18Z | |
| dc.date.available | 2026-07-07T09:36:18Z | |
| dc.description | The main result of this article is the fact that the currents defined by Levin give a description of the polylogarithm of an abelian scheme at the topological level. This result was a conjecture of Levin. This provides a method to explicit the Eisenstein classes of an abelian scheme at the topological level. These classes are of special interest since they have a motivic origin by a theorem of Kings. In a forthcoming article, we use the main result of this paper to prove that the Eisenstein classes of the universal abelian scheme over an Hilbert-Blumenthal variety degenerate at the boundary of the Baily-Borel compactification of the base in a special value of an $L$-function associated to the underlying totally real number field. As a corollary, we get a non vanishing result for some of these Eisenstein classes in this geometric situation. | |
| dc.description | Appendice d'Andrey Levin ajoute | |
| dc.identifier | https://arxiv.org/abs/0705.0880 | |
| dc.identifier | http://arxiv.org/abs/0705.0880 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/160070 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K20, 14F43 | |
| dc.title | Realisation de Hodge du polylogarithme d'un schema abelien | |
| dc.type | text |