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ON THE CONTROL THEOREM FOR FINE SELMER GROUPS AND THE GROWTH OF FINE TATE-SHAFAREVICH GROUPS IN Z(p)-EXTENSIONS

Lim, MF

Lim, MF (corresponding author), Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.; Lim, MF (corresponding author), Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.

DOCUMENTA MATHEMATICA, 2020; 25 (): 2445

Abstract

Let A be an abelian variety defined over a number field F. We prove a control theorem for the fine Selmer group of the abelian variety A which essenti......

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