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arxiv: 1301.2333 · v2 · pith:R5VT7MUZnew · submitted 2013-01-10 · 🧮 math.NT

Kato's Local epsilon conjecture: l neq p case

classification 🧮 math.NT
keywords adiccasecertainelementsepsilonexistencekatolocal
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Kato and Fukaya conjectured existence of certain elements in certain ($p$-adic) Iwasawa algebras which are related to Deligne-Langland's ($l$-adic) local epsilon constants. We prove the existence of these elements in the $l \neq p$ case.

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