A note on non-reduced Picard schemes
| dc.creator | Liedtke, Christian | |
| dc.date | 2008-05-07 | |
| dc.date | 2008-08-27 | |
| dc.date.accessioned | 2026-07-07T12:35:59Z | |
| dc.date.available | 2026-07-07T12:35:59Z | |
| dc.description | The Picard scheme of a smooth curve and a smooth complex variety is reduced. In this note we discuss which classes of surfaces in terms of the Enriques-Kodaira classification can have non-reduced Picard schemes and whether there are restrictions on the characteristic of the ground field. It turns out that non-reduced Picard schemes are uncommon in Kodaira dimension $κ\leq0$, that this phenomenon can be bounded for $κ=2$ (general type) and that it is as bad as can be in $κ=1$. | |
| dc.description | 7 pages, simplified and improved version | |
| dc.identifier | https://arxiv.org/abs/0805.0848 | |
| dc.identifier | http://arxiv.org/abs/0805.0848 | |
| dc.identifier | J. Pure Appl. Algebra 213, 737-741 (2009) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217948 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14K30; 14J10 | |
| dc.title | A note on non-reduced Picard schemes | |
| dc.type | text |