Author:
IMAI NAOKI,TSUSHIMA TAKAHIRO
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.
Publisher
Cambridge University Press (CUP)
Reference28 articles.
1. [IT5] N. Imai and T. Tsushima , Affinoids in the Lubin–Tate perfectoid space and simple epipelagic representations II: wild case, preprint, arXiv:1603.04693.
2. [IT4] N. Imai and T. Tsushima , Affinoids in the Lubin–Tate perfectoid space and simple epipelagic representations I: tame case, preprint, arXiv:1308.1276.
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4. Geometric approach to the local Jacquet-Langlands correspondence
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