The Hirzebruch-Mumford volume for the orthogonal group and applications
| dc.creator | Gritsenko, Valery | |
| dc.creator | Hulek, Klaus | |
| dc.creator | Sankaran, G. K. | |
| dc.date | 2005-12-27 | |
| dc.date | 2006-09-27 | |
| dc.date.accessioned | 2026-07-07T06:55:48Z | |
| dc.date.available | 2026-07-07T06:55:48Z | |
| dc.description | In this paper we derive an explicit formula for the Hirzebruch-Mumford volume of an indefinite lattice L of rank at least 3. If Γis an arithmetic subgroup of the group O(L) of isometries of L and L has signature (2,n), then an application of Hirzebruch-Mumford proportionality allows us to determine the leading term of the growth of the dimension of the spaces S_k(Γ) of cusp forms of weight k, as k goes to infinity. We compute this in a number of examples, which are important for geometric applications. | |
| dc.description | Minor corrections, bibliography updated | |
| dc.identifier | https://arxiv.org/abs/math/0512595 | |
| dc.identifier | http://arxiv.org/abs/math/0512595 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106401 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F03, 11F23, 14J15, 14J28 | |
| dc.title | The Hirzebruch-Mumford volume for the orthogonal group and applications | |
| dc.type | text |