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Good reduction of affinoids in the Lubin–Tate curve in even equal characteristic, I

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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… Click to show full abstract

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.

Keywords: curve even; equal characteristic; tate curve; even equal; affinoids lubin; lubin tate

Journal Title: Journal of Number Theory
Year Published: 2020

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