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Good reduction of affinoids in the Lubin–Tate curve in even equal characteristic, I
Journal of Number Theory ( IF 0.6 ) Pub Date : 2020-09-01 , DOI: 10.1016/j.jnt.2020.03.004
Takahiro Tsushima

Abstract We define affinoids in the Lubin–Tate curve in even equal characteristic, and compute the reductions of them. Each reduction is isomorphic to a smooth affine curve with Artin–Schreier type equation. We expect that the cohomology of the reductions realizes the local Langlands correspondence and local Jacquet–Langlands correspondence for representations of conductor five.

中文翻译:

Lubin-Tate 曲线中亲和化合物的良好减少,甚至等特征,I

摘要 我们在 Lubin-Tate 曲线中定义了等特征的仿射体,并计算它们的约简。每次减少都同构为具有 Artin-Schreier 类型方程的平滑仿射曲线。我们期望减少的上同调实现了导体 5 表示的局部朗兰兹对应和局部 Jacquet-Langlands 对应。
更新日期:2020-09-01
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