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Geometrically Connected Components of Lubin-Tate Deformation Spaces with Level Structures

Geometrically Connected Components of Lubin-Tate Deformation Spaces with Level Structures

We determine the geometrically connected components of the generic fibre of the deformation space M m which parameterizes deformations of a one-dimensional formal o-module equipped with Drinfeld levelm-structures.It is shown that the geometrically connected components are defined over a Lubin-Tate extension of the base field, and the action of the …