On the existence of a torsor structure for Galois covers
| dc.creator | Mohamed, Saidi | |
| dc.date | 2004-03-23 | |
| dc.date.accessioned | 2026-07-07T05:06:40Z | |
| dc.date.available | 2026-07-07T05:06:40Z | |
| dc.description | Let $R$ be a complete discrete valuation ring with residue characteristic $p>0$. In this note we give an example of a Galois cover $f:Y\to X$ between flat and normal formal $R$-schemes of finite type which is étale above the generic fibre of $X$ such that the special fibre of $Y$ is reduced and such that $f$ doesn't have the structure of a torsor under a finite and flat $R$ group scheme. In the example $R$ has equal characteristic $p$ and the Galois group of the cover is cyclic of order $p^2$. In the example the formal scheme $X$ is affine and can be choosen to be even smooth. | |
| dc.description | These notes are not intended for publication | |
| dc.identifier | https://arxiv.org/abs/math/0403389 | |
| dc.identifier | http://arxiv.org/abs/math/0403389 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70560 | |
| dc.subject | Algebraic Geometry | |
| dc.title | On the existence of a torsor structure for Galois covers | |
| dc.type | text |