Smoothness and jet schemes
| dc.creator | Ishii, Shihoko | |
| dc.date | 2008-10-25 | |
| dc.date.accessioned | 2026-07-07T10:13:14Z | |
| dc.date.available | 2026-07-07T10:13:14Z | |
| dc.description | This paper shows some criteria for a scheme of finite type over an algebraically closed field to be non-singular in terms of jet schemes. For the base field of characteristic zero, the scheme is non-singular if and only if one of the truncation morphisms of its jet schemes is flat. For the positive characteristic case, we obtain a similar characterization under the reducedness condition on the scheme. We also obtain by a simple discussion that the scheme is non-singular if and only if one of its jet schemes is non-singular. | |
| dc.description | 12 pages, to appear in Advanced Studies in Pure Math | |
| dc.identifier | https://arxiv.org/abs/0810.4571 | |
| dc.identifier | http://arxiv.org/abs/0810.4571 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/172459 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14B05 | |
| dc.title | Smoothness and jet schemes | |
| dc.type | text |