Order 1 strongly minimal sets in differentially closed fields
| dc.creator | Rosen, Eric | |
| dc.date | 2005-10-11 | |
| dc.date | 2007-01-19 | |
| dc.date.accessioned | 2026-07-07T07:41:41Z | |
| dc.date.available | 2026-07-07T07:41:41Z | |
| dc.description | We give a classification of non-orthogonality classes of trivial order 1 strongly minimal sets in differentially closed fields. A central idea is the introduction of $τ$-forms, functions on the prolongation of a variety which are analogous to 1-forms. Order 1 strongly minimal sets then correspond to smooth projective curves with $τ$-forms. We also introduce $τ$-differentials, algebraic versions of $τ$-forms which are analogous to usual differentials, and develop their basic properties. This enables us to reformulate our classification scheme-theoretically in terms of curves with $τ$-invertible sheaves. This work partially generalizes and extends results of Hrushovski and Itai. | |
| dc.description | 19 pages, some corrections and reorganization | |
| dc.identifier | https://arxiv.org/abs/math/0510233 | |
| dc.identifier | http://arxiv.org/abs/math/0510233 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122200 | |
| dc.subject | Logic | |
| dc.subject | 03C60 | |
| dc.title | Order 1 strongly minimal sets in differentially closed fields | |
| dc.type | text |