Arithmetic compactifications of the Hilbert modular varieties and Hilbert modular forms for $Γ_1(c,n)$
| dc.creator | Dimitrov, Mladen | |
| dc.date | 2002-12-04 | |
| dc.date | 2004-11-07 | |
| dc.date.accessioned | 2026-07-07T04:53:33Z | |
| dc.date.available | 2026-07-07T04:53:33Z | |
| dc.description | We construct local charts for the ramified cusps of the Hilbert modular variety of level $Γ_1(\mathfrak{c},\mathfrak{n})$. This allows us, following closely M. Rapoport and C.-L. Chai, to construct arithmetic toroidal and minimal compactifications of these modular varieties. Some applications to modular forms are given. See our joint work with J. Tilouine for other applications. | |
| dc.description | 28 pages, in french, final version | |
| dc.identifier | https://arxiv.org/abs/math/0212071 | |
| dc.identifier | http://arxiv.org/abs/math/0212071 | |
| 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, 527-554 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65891 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F41; 11G18; 14D20; 14G35 | |
| dc.title | Arithmetic compactifications of the Hilbert modular varieties and Hilbert modular forms for $Γ_1(c,n)$ | |
| dc.type | text |