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arxiv: 1809.10625 · v2 · pith:5WEKGTICnew · submitted 2018-09-27 · 🧮 math.RT

Note on the non-preservation of depth

classification 🧮 math.RT
keywords depthlocalcharacteristicconsiderconstructcorrespondenceexamplesfield
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Let $K$ be a local field of characteristic $p$. We consider the local Langlands correspondence for tori, and construct examples for which depth is not preserved.

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