Essential dimension and algebraic stacks
| dc.creator | Brosnan, Patrick | |
| dc.creator | Reichstein, Zinovy | |
| dc.creator | Vistoli, Angelo | |
| dc.date | 2007-01-31 | |
| dc.date.accessioned | 2026-07-07T07:44:03Z | |
| dc.date.available | 2026-07-07T07:44:03Z | |
| dc.description | We define and study the essential dimension of an algebraic stack. We compute the essential dimension of the stacks Mgn and MgnBar of smooth, or stable, n-pointed curves of genus g. We also prove a general lower bound for the essential dimension of algebraic groups with a non-trivial center. Using this, we find new exponential lower bounds for the essential dimension of spin groups and new formulas for the essential dimension of some finite p-groups. Finally, we apply the lower bound for spin groups to the theory of the Witt ring of quadratic forms over a field k. | |
| dc.description | 52 pages | |
| dc.identifier | https://arxiv.org/abs/math/0701903 | |
| dc.identifier | http://arxiv.org/abs/math/0701903 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123059 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14A20; 20G15; 11E04; 14H10 | |
| dc.title | Essential dimension and algebraic stacks | |
| dc.type | text |