Models of Z/p^2 Z over a d.v.r. of unequal characteristic
| dc.creator | Tossici, Dajano | |
| dc.date | 2008-03-26 | |
| dc.date.accessioned | 2026-07-07T09:28:25Z | |
| dc.date.available | 2026-07-07T09:28:25Z | |
| dc.description | Let R be a discrete valuation ring of unequal characteristic which contains a primitive p^2-th root of unity. If K is the fraction field of R, it is well known that (Z/p^2 Z)_K is isomorphic to μ_{p^2,K}. We prove that any finite and flat R-group scheme of order p^2 isomorphic to (Z/p^2 Z)_K on the generic fiber (i.e. a model of (Z/p^2 Z)_K), is the kernel in a short exact sequence which generically coincides with the Kummer sequence. We will explicitly describe and classify such models. | |
| dc.description | 40 pages | |
| dc.identifier | https://arxiv.org/abs/0803.3702 | |
| dc.identifier | http://arxiv.org/abs/0803.3702 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157450 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14L15 | |
| dc.title | Models of Z/p^2 Z over a d.v.r. of unequal characteristic | |
| dc.type | text |