Igusa's modular form and the classification of Siegel modular threefolds
| dc.creator | Hulek, Klaus | |
| dc.date | 1999-11-29 | |
| dc.date.accessioned | 2026-07-07T05:32:01Z | |
| dc.date.available | 2026-07-07T05:32:01Z | |
| dc.description | In this paper we prove two results concerning the classification of Siegel modular threefolds. Let A_{1,d}(n) be the moduli space of abelian surfaces with a (1,d)-polarization and a full level-n structure and let A_{1,d}^{lev}(n) be the space where one has fixed an additional canonical level structure. We prove that A_{1,d}(n) is of general type if (d,n)=1 and n ist at least 4. This is the best possible result which one can prove for all d simultaneously. Let p be an odd prime and assume that (p,n)=1. Then we prove that the Voronoi compactification of A_{1,p}^{lev}(n) is smooth and has ample canonical bundle if and only if n is greater than or equal to 5. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/9911236 | |
| dc.identifier | http://arxiv.org/abs/math/9911236 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79508 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Igusa's modular form and the classification of Siegel modular threefolds | |
| dc.type | text |