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Non-existence of certain Galois representations with a uniform tame inertia weight

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Abstract In this paper, we prove the non-existence of certain semistable Galois representations of a number field. Our consequence can be applied to some geometric problems. For example, we prove a special cas...e of a Conjecture of Rasmussen and Tamagawa, related with the finiteness of the set of isomorphism classes of abelian varieties with constrained prime power torsion.show more

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Created Date 2010.04.01
Modified Date 2018.02.07