On intrinsic Hodge-Tate-ness of Galois representations of dimension two

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<p>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.</p>

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詳細情報 詳細情報について

  • CRID
    1390580914997562624
  • DOI
    10.2996/kmj47107
  • ISSN
    18815472
    03865991
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • Crossref
  • 抄録ライセンスフラグ
    使用不可

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