Arithmetic Hilbert modular varieties and forms for $Γ_1(c,n)$
| dc.creator | Dimitrov, Mladen | |
| dc.creator | Tilouine, Jacques | |
| dc.date | 2002-12-05 | |
| dc.date | 2004-11-07 | |
| dc.date.accessioned | 2026-07-07T04:53:33Z | |
| dc.date.available | 2026-07-07T04:53:33Z | |
| dc.description | We recall first the analytic theory of the Hilbert modular varieties of level $Γ_1(\mathfrak{c},\mathfrak{n})$ and their compactifications. We construct arithmetic toroidal compactifications of the universal Hilbert-Blumenthal abelian variety (and of its fiber products), over the compactifications of the Hilbert modular variety constructed by the first author. We give several applications related to Hodge theory, Hilbert-Jacobi modular forms and Hilbert modular forms of half-integer weight. | |
| dc.description | 60 pages, in french, final version | |
| dc.identifier | https://arxiv.org/abs/math/0212072 | |
| dc.identifier | http://arxiv.org/abs/math/0212072 | |
| dc.identifier | in Geometric Aspects of Dwork Theory, (A. Adolphson, F. Baldassarri, P. Berthelot, N. Katz and F. Loeser eds.), Walter de Gruyter, Berlin 2004, 555-614 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65892 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F41; 11G18; 14D20; 14G35 | |
| dc.title | Arithmetic Hilbert modular varieties and forms for $Γ_1(c,n)$ | |
| dc.type | text |