Lai, King FaiKing FaiLaiLonghi, IgnazioIgnazioLonghiTan, Ki-SengKi-SengTanTrihan, FabienFabienTrihan陳其誠2019-04-182019-04-1820180002-9947https://scholars.lib.ntu.edu.tw/handle/123456789/405502https://www.scopus.com/inward/record.uri?eid=2-s2.0-85039808744&doi=10.1090%2ftran%2f7016&partnerID=40&md5=97cd14652415aea7e3f850c9dc2fec97We 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.Abelian variety; Iwasawa theory; Pontryagin duality; Selmer groupjournal article10.1090/tran/70162-s2.0-85039808744WOS:000418694400015