Effective models and extension of torsors over a discrete valuation ring of unequal characteristic
| dc.creator | Tossici, Dajano | |
| dc.date | 2008-03-26 | |
| dc.date | 2008-10-19 | |
| dc.date.accessioned | 2026-07-07T10:10:50Z | |
| dc.date.available | 2026-07-07T10:10:50Z | |
| dc.description | Let R be a discrete valuation ring of unequal characteristic with fraction field K which contains a primitive p^2-th root of unity. Let X be a faithfully flat R-scheme and G be a finite abstract group. Let us consider a G-torsor Y_K\to X_K and let Y be the normalization of X_K in Y. If G=Z/p^n Z, n<3, under some hypothesis on X, we attach some invariants to Y_K \to X_K. If p>2, we determine, through these invariants, when Y\to X has a structure of torsor which extends that of Y_K\to X_K. Moreover we explicitly calculate the effective model (defined by Romagny) of the action of G on Y. | |
| dc.description | 40 pages, final version, corrected and improved some statements in the sections 4,5,6 and 7 | |
| dc.identifier | https://arxiv.org/abs/0803.3730 | |
| dc.identifier | http://arxiv.org/abs/0803.3730 | |
| dc.identifier | Internat. Math. Res. Not. (2008); Vol. 2008, article ID:rnn111, 68 pages | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/171706 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Number Theory | |
| dc.subject | 14L15; 14L30; 11G25 | |
| dc.title | Effective models and extension of torsors over a discrete valuation ring of unequal characteristic | |
| dc.type | text |