Selmer groups over Zpd-extensions

Consider an abelian variety A defined over a global field K and let L / K be a Z p d -extension, unramified outside a finite set of places of K , with Gal ( L / K ) = Γ . Let Λ ( Γ ) : = Z p [ [ Γ ] ] denote the Iwasawa algebra. In this paper, we study how the characteristic ideal of the Λ ( Γ ) -mo...

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Bibliographic Details
Published in:Mathematische annalen 2014, Vol.359 (3-4), p.1025-1075
Main Author: Tan, Ki-Seng
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary:Consider an abelian variety A defined over a global field K and let L / K be a Z p d -extension, unramified outside a finite set of places of K , with Gal ( L / K ) = Γ . Let Λ ( Γ ) : = Z p [ [ Γ ] ] denote the Iwasawa algebra. In this paper, we study how the characteristic ideal of the Λ ( Γ ) -module X L , the dual p -primary Selmer group, varies when L / K is replaced by a strict intermediate Z p e -extension.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-014-1023-9