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Some Cases of the Fontaine–Mazur Conjecture, II

✍ Scribed by Nigel Boston

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
101 KB
Volume
75
Category
Article
ISSN
0022-314X

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✦ Synopsis

We prove more special cases of the Fontaine Mazur conjecture regarding p-adic Galois representations unramified at p, and we present evidence for and consequences of a generalization of it.

1999 Academic Press

Conjecture 1 (Fontaine, Mazur). There do not exist a number field K and an infinite everywhere unramified Galois pro-p extension L such that Gal(LÂK) is uniform.

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