Geometrically connected components of Lubin-Tate deformation spaces with level structures
Abstract
Let Mm 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 Mm over M0 on the set of geomtrically connected components is calculated as well as the action of the action of the automorphism group of X.
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