Geometrically connected components of Lubin-Tate deformation spaces with level structures
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
Let M_m be the generic fibre of the formal deformation space of a one-dimensional formal module X of finite height together with level-m-structures. We show that it is defined over the mth Lubin-Tate extension of the ground field and that it is geometrically connected over this field. The action of the covering group of M_m over M_0 on the set of geomtrically connected components is calculated as well as the action of the action of the automorphism group of X.
Keywords
Cite
@article{arxiv.math/0611121,
title = {Geometrically connected components of Lubin-Tate deformation spaces with level structures},
author = {Matthias Strauch},
journal= {arXiv preprint arXiv:math/0611121},
year = {2007}
}
Comments
15 pages, submitted