On Drinfeld modules with Rasmussen-Tamagawa type conditions: a resume (Algebraic Number Theory and Related Topics 2017)
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- 奥村, 喜晶
- Department of mathematics, Tokyo institute of Technology
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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.
収録刊行物
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- 数理解析研究所講究録別冊
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数理解析研究所講究録別冊 B83 243-251, 2020-10
Research Institute for Mathematical Sciences, Kyoto University
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詳細情報 詳細情報について
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- CRID
- 1050006210015552384
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- NII論文ID
- 120006950493
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- NII書誌ID
- AA12196120
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- ISSN
- 18816193
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- HANDLE
- 2433/260703
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- 本文言語コード
- en
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- 資料種別
- departmental bulletin paper
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- データソース種別
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- IRDB
- CiNii Articles