Superspecial Abelian Varieties and the Eichler Basis Problem for Hilbert Modular Forms
| dc.creator | Nicole, Marc-Hubert | |
| dc.date | 2007-11-02 | |
| dc.date | 2008-06-17 | |
| dc.date.accessioned | 2026-07-07T10:07:13Z | |
| dc.date.available | 2026-07-07T10:07:13Z | |
| dc.description | Let $p$ be an unramified prime in a totally real field $L$ such that $h^+(L)=1$. Our main result shows that Hilbert modular newforms of parallel weight two for $Γ_0(p)$ can be constructed naturally, via classical theta series, from modules of isogenies of superspecial abelian varieties with real multiplication on a Hilbert moduli space. This can be viewed as a geometric reinterpretation of the Eichler Basis Problem for Hilbert modular forms. | |
| dc.description | to appear in J.N.T | |
| dc.identifier | https://arxiv.org/abs/0711.0239 | |
| dc.identifier | http://arxiv.org/abs/0711.0239 | |
| dc.identifier | Journal of Number Theory, 128, 2008, 2874-2889 | |
| dc.identifier | doi:10.1016/j.jnt.2008.01.006 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/170555 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G10; 11G18; 11F27; 11F41;14G35. | |
| dc.title | Superspecial Abelian Varieties and the Eichler Basis Problem for Hilbert Modular Forms | |
| dc.type | text |