Non-effective Deformations of Grothendieck's Hilbert Functor
| dc.creator | Lundkvist, Christian | |
| dc.creator | Skjelnes, Roy | |
| dc.date | 2006-03-20 | |
| dc.date | 2007-02-24 | |
| dc.date.accessioned | 2026-07-07T07:48:18Z | |
| dc.date.available | 2026-07-07T07:48:18Z | |
| dc.description | Let X be a scheme that does not satisfy the valuative criterion of separatedness. We show that the Hilbert functor parametrizing closed families of X that are flat, finite and of rank one is not represented by a scheme or an algebraic space. | |
| dc.description | 8 pages Changed abstract. Fixed typos/grammatical errors. Shortened the introduction. Expanded and clarified Remark 1.9. Shortened the exposition in Section 2 considerably, especially the proof of the first proposition (now Prop 2.3) in this section. Also removed the first lemma (Lemma 2.3) in the section. Added/removed references | |
| dc.identifier | https://arxiv.org/abs/math/0603473 | |
| dc.identifier | http://arxiv.org/abs/math/0603473 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/124449 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14C05 (Primary) 14B12, 14A20 (Secondary) | |
| dc.title | Non-effective Deformations of Grothendieck's Hilbert Functor | |
| dc.type | text |