444 citations
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Showing 2004 · math.NTShow all
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math.NT2004★ 15 cited
On the image of l-adic Galois representations for abelian varieties of type I and II
Grzegorz Banaszak, Wojciech Gajda, Piotr Krason
In this paper we investigate the image of the -adic representation attached to the Tate module of an abelian variety over a number field with endomorphism algebra of type I or I…
math.NT2004★ 21 cited
On the distribution of the order and index of g(mod p) over residue classes II
Pieter Moree
For a fixed rational number g different from -1,0,1 and integers a and d the set N_g(a,d) of primes p for which the order of g(mod p) is congruent to a(mod d) is considered. It is…
math.NT2004
Galois modules arising from Faltings's strict modules
Victor Abrashkin
Suppose O is a complete discrete valuation ring of positive characteristic with perfect residue field. The category of finite flat strict modules was introduced recently by Falting…