Kato's local epsilon conjecture:  l  ≠  p  case | Zendy

Kakde Mahesh | Zendy

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Kato's local epsilon conjecture: l ≠ p case

Author(s) -

Kakde Mahesh

Publication year - 2014

Publication title -

journal of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.441

H-Index - 62

eISSN - 1469-7750

pISSN - 0024-6107

DOI - 10.1112/jlms/jdu022

Subject(s) - conjecture , local field , mathematics , pure mathematics , commutative property , lie algebra , structure constants , iwasawa theory , field (mathematics) , residue field , residue (chemistry) , chemistry , geometry , biochemistry

Let l and p be two distinct primes. Let K be a local field of characteristic 0 and residue characteristic l . In this paper, we prove existence of local ϵ 0 ‐constants for representations of Gal ( K ¯ / K ) over Iwasawa algebras of p ‐adic Lie groups. Existence of these ϵ 0 ‐constants was conjectured by Kato (for commutative Iwasawa algebras) and Fukaya–Kato (in general).

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