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：

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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。