Stable models of Lubin-Tate curves with level three
Naoki Imai, Takahiro Tsushima
TL;DR
This paper constructs a stable formal model of Lubin-Tate curves with level three, analyzing group actions and cohomology structures in a purely local setting, including residue characteristic two.
Contribution
It provides the first stable formal model for Lubin-Tate curves with level three and examines the Weil group and division algebra actions on its reduction.
Findings
Constructed a stable formal model of Lubin-Tate curve with level three
Analyzed Weil group and division algebra actions on the stable reduction
Studied the cohomology structure of the Lubin-Tate curve
Abstract
We construct a stable formal model of a Lubin-Tate curve with level three, and study the action of a Weil group and a division algebra on its stable reduction. Further, we study a structure of cohomology of the Lubin-Tate curve. Our study is purely local and includes the case where the characteristic of the residue field of a local field is two.
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