Stable models of Lubin-Tate curves with level three
Number Theory
2020-11-24 v5 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.1111.1893,
title = {Stable models of Lubin-Tate curves with level three},
author = {Naoki Imai and Takahiro Tsushima},
journal= {arXiv preprint arXiv:1111.1893},
year = {2020}
}
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36 pages