On Drinfeld modules with Rasmussen-Tamagawa type conditions: a resume (Algebraic Number Theory and Related Topics 2017)

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説明

This is an announcement of the author's results [7] on a non-existence problem of Drinfeld modules defined over global function fields with some arithmetic constraints. The motivation is a conjecture of Christopher Rasmussen and Akio Tamagawa related with abelian varieties over number fields with constrained ℓ-power torsion points. In this paper, considering the arithmetic similarity between Drinfeld modules and elliptic curves, we show that a Drinfeld module analogue of the Rasmussen-Tamagawa conjecture holds in some cases. We also see that there is a counter-example of the Drinfeld module analogue of the conjecture in a special case.

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詳細情報 詳細情報について

  • CRID
    1050006210015552384
  • NII論文ID
    120006950493
  • NII書誌ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/260703
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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