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- W2002692023 abstract "Let $K$ be a local field and $k$ an algebraically closed field. We prove the finiteness of isomorphism classes of semisimple Galois representations of $K$ into $GL_d(k)$ with bounded Artin conductor and residue degree. We calculate explicitly the number of totally ramified finite abelian extensions of $K$ with bounded conductor. Using this result, we give an upper bound for the number of certain Galois extensions of $K$." @default.
- W2002692023 created "2016-06-24" @default.
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- W2002692023 date "2007-01-01" @default.
- W2002692023 modified "2023-09-25" @default.
- W2002692023 title "On the finiteness of mod {$p$} Galois representations of a local field" @default.
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- W2002692023 doi "https://doi.org/10.2748/tmj/1176734748" @default.
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