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

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

2010-03-26

arxiv.org/abs/1003.5029v1

Mathematics

Number Theory

12 pages

Scientific paper

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 case 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.

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