On the Analyticity of the group action on the Lubin-Tate space

2015/03/12 by Lo, Chi Yu
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1503.03580

Abstract

In this paper we study the analyticity of the group action of the automorphism group G of a formal module F of height 2 (defined over \mathbbF_q) on the Lubin-Tate deformation space X of F. It is shown that a wide open congruence group of level zero attached to a non-split torus acts analytically on a particular disc in X on which the period morphism is not injective. For certain other discs with larger radii (defined in terms of quasi-canonical liftings) we find wide open rigid analytic groups which act analytically on these discs.

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