Les classes d'Eisenstein des varietes de Hilbert-Blumenthal
| dc.creator | Blottière, David | |
| dc.date | 2007-06-17 | |
| dc.date | 2008-02-09 | |
| dc.date.accessioned | 2026-07-07T09:19:22Z | |
| dc.date.available | 2026-07-07T09:19:22Z | |
| dc.description | This article deals with the Eisenstein classes of Hilbert-Blumenthal families of abelian varieties. We first give a coordinate expression of these one at the topological level, using currents defined by Levin. Then we study the degeneration of these Eisenstein classes at a cusp of the Baily-Borel compactification of the Hilbert-Blumenthal variety. We show, using the explicit description of the Eisenstein classes obtained previously, that these classes degenerate in special values of an $L$-function associated to the underlying totally real number field. We deduce then both a geometric proof the Klingen-Siegel Theorem and a non vanishing result for some of these Eisenstein classes . | |
| dc.description | Constantes rationnelles de la Proposition 4.3 et du Theoreme 5.2 corrigees | |
| dc.identifier | https://arxiv.org/abs/0706.2455 | |
| dc.identifier | http://arxiv.org/abs/0706.2455 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154365 | |
| dc.subject | Number Theory | |
| dc.subject | 14K10, 11G55 | |
| dc.title | Les classes d'Eisenstein des varietes de Hilbert-Blumenthal | |
| dc.type | text |