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RIMS1960.pdf | 153.17 kB | Adobe PDF | 見る/開く |
タイトル: | On Intrinsic Hodge-Tate-ness of Galois Representations of Dimension Two |
著者: | HOSHI, Yuichiro |
キーワード: | 11S20 p-adic local field p-adic Galois representation Hodge-Tate intrinsically Hodge-Tate Aut-intrinsically Hodge-Tate group of MLF-type |
発行日: | Apr-2022 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
開始ページ: | 1 |
終了ページ: | 12 |
論文番号: | RIMS-1960 |
抄録: | In the present paper, we first prove that, for an arbitrary reducible Hodge-Tate p-adic representation of dimension two of the absolute Galois group of a p-adic local field and an arbitrary continuous automorphism of the absolute Galois group, the p-adic Galois representation obtained by pulling back the given p-adic Galois representation by the given continuous automorphism is Hodge-Tate. Next, we also prove the existence of an irreducible Hodge-Tate p-adic representation of dimension two of the absolute Galois group of a p-adic local field and a continuous automorphism of the absolute Galois group such that the p-adic Galois representation obtained by pulling back the given p-adic Galois representation by the given continuous automorphism is not Hodge-Tate. |
URI: | http://hdl.handle.net/2433/274236 |
関連リンク: | http://www.kurims.kyoto-u.ac.jp/preprint/index.html |
出現コレクション: | 数理解析研究所プレプリント |
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