On a Galois extension with restricted ramification related to the Selmer group of an elliptic curve with complex multiplication.

DOI10.1515/CRLL.1991.416.143zbMath0738.11059OpenAlexW314713137MaRDI QIDQ3971530

Publication date: 25 June 1992

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002208474

zbMATH Keywords

elliptic curve Galois extension algebraic number fields complex multiplication Poincaré group algebraic function fields Selmer group algebraic \(p\)-adic height pairing pairing of Galois cohomology groups

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Galois theory (11R32) Algebraic functions and function fields in algebraic geometry (14H05)

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