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arXiv · 1003.5029

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

Yoshiyasu Ozeki
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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 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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Yoshiyasu Ozeki. 2010-03-26. Non-existence of certain Galois representations with a uniform tame inertia weight. https://arxiv.org/abs/1003.5029

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