ON THE FINITENESS OF MOD $p$ GALOIS REPRESENTATIONS OF A LOCAL FIELD
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- HARADA SHINYA
- Graduate School of Mathematics, Kyushu University
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Description
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 $\mathrm{GL}_d(k)$ 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 $K$.
Journal
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- Tohoku Mathematical Journal, Second Series
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Tohoku Mathematical Journal, Second Series 59 (1), 67-77, 2007
Mathematical Institute, Tohoku University
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Details 詳細情報について
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- CRID
- 1390001205114795008
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- NII Article ID
- 110006196739
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- NII Book ID
- AA00863953
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- ISSN
- 2186585X
- 00408735
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- MRID
- 2321993
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed
