Kato's Local epsilon conjecture: $l \neq p$ case

preprint2013arXivOpen access

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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Kato's Local epsilon conjecture: $l \neq p$ case

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Kato's Local epsilon conjecture: l≠pl \neq pl=p case

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Kato's Local epsilon conjecture: $l \neq p$ case