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- HARADA SHINYA
- Graduate School of Mathematics, Kyushu University
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説明
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 $K$.
収録刊行物
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- Ｔｏｈｏｋｕ Ｍａｔｈｅｍａｔｉｃａｌ Ｊｏｕｒｎａｌ， Ｓｅｃｏｎｄ Ｓｅｒｉｅｓ
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Ｔｏｈｏｋｕ Ｍａｔｈｅｍａｔｉｃａｌ Ｊｏｕｒｎａｌ， Ｓｅｃｏｎｄ Ｓｅｒｉｅｓ 59 (1), 67-77, 2007
東北大学大学院理学研究科数学専攻
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詳細情報 詳細情報について
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- CRID
- 1390001205114795008
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- NII論文ID
- 110006196739
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- NII書誌ID
- AA00863953
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- ISSN
- 2186585X
- 00408735
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- MRID
- 2321993
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- 本文言語コード
- en
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- データソース種別
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- JaLC
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- 使用不可