Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. I
Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. I
复制标题
在 Lubin-Tate 曲线中具有良好的亲和素还原性，甚至具有相同的特性。
DOI：
10.1016/j.jnt.2020.03.004
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发表时间：
2020
影响因子：
0.7
通讯作者：
Takahiro Tsushima
中科院分区：
文献类型：
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作者：
Takahiro Tsushima
本文定义了Lubin-Tate曲线上的偶等特征仿射线，并计算了它们的约简。每个约化同构于一条具有Artin-Schreier型方程的光滑仿射曲线。我们期望约化的上同调实现了导体5表示的局部Langlands对应和局部Jacquet-Langlands对应。
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.