Twisted bundles and admissible covers
| dc.creator | Abramovich, Dan | |
| dc.creator | Corti, Alessio | |
| dc.creator | Vistoli, Angelo | |
| dc.date | 2001-06-25 | |
| dc.date.accessioned | 2026-07-07T04:42:18Z | |
| dc.date.available | 2026-07-07T04:42:18Z | |
| dc.description | The cherry on top of this stacky paper is the following: for any g>1 we give a finite group G such that the moduli space of connected admissible G-covers of genus g is a smooth, fine moduli space, which is a Galois cover of the moduli space of stable curves. The proof relies on methods introduced by Looijenga and Pikaart-De Jong, and on the theory of twisted G-covers, a theory announced without proofs in math.AG/9811059, section 3, and developed in the first few sections of this paper. This includes a moduli description of the normalization of the Harris-Mumford space of admissible covers, and a study of moduli of stable curves with abelian and non-abelian level structure. | |
| dc.description | 36 pages | |
| dc.identifier | https://arxiv.org/abs/math/0106211 | |
| dc.identifier | http://arxiv.org/abs/math/0106211 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61725 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14H10,14H30 | |
| dc.title | Twisted bundles and admissible covers | |
| dc.type | text |