https://scholars.lib.ntu.edu.tw/handle/123456789/405502
標題: | Pontryagin Duality for Iwasawa Modules and Abelian Varieties | 作者: | Lai, King Fai Longhi, Ignazio Tan, Ki-Seng Trihan, Fabien 陳其誠 |
關鍵字: | Abelian variety; Iwasawa theory; Pontryagin duality; Selmer group | 公開日期: | 2018 | 卷: | 370 | 期: | 3 | 起(迄)頁: | 1925-1958 | 來源出版物: | Transactions of the American Mathematical Society | 摘要: | We prove a functional equation for two projective systems of finite abelian p-groups, {an} and {abn}, endowed with an action of ℤdp such that an can be identified with the Pontryagin dual of bn for all n. Let K be a global field. Let L be a ℤdp-extension of K (d ≥ 1), unramified outside a finite set of places. Let A be an abelian variety over K. We prove an algebraic functional equation for the Pontryagin dual of the Selmer group of A. © 2017 American Mathematical Society. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/405502 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85039808744&doi=10.1090%2ftran%2f7016&partnerID=40&md5=97cd14652415aea7e3f850c9dc2fec97 |
ISSN: | 0002-9947 | DOI: | 10.1090/tran/7016 |
顯示於: | 數學系 |
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