On the existence of a torsor structure for Galois covers
Algebraic Geometry
2007-05-23 v1
Abstract
Let be a complete discrete valuation ring with residue characteristic . In this note we give an example of a Galois cover between flat and normal formal -schemes of finite type which is \'etale above the generic fibre of such that the special fibre of is reduced and such that doesn't have the structure of a torsor under a finite and flat group scheme. In the example has equal characteristic and the Galois group of the cover is cyclic of order . In the example the formal scheme is affine and can be choosen to be even smooth.
Cite
@article{arxiv.math/0403389,
title = {On the existence of a torsor structure for Galois covers},
author = {Saidi Mohamed},
journal= {arXiv preprint arXiv:math/0403389},
year = {2007}
}
Comments
These notes are not intended for publication