Kummer theory on the product of an elliptic curve by the multiplicative group

DOI10.1017/S001708950000450XzbMath0453.14019MaRDI QIDQ3900180

Daniel Bertrand

Publication date: 1981

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Kummer theorytorsion pointsendomorphisms of elliptic curveextensions of Abelian varieties

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves (14H52) Arithmetic ground fields for abelian varieties (14K15) Cyclotomic extensions (11R18) Group varieties (14L10)

Related Items

Lower bounds for heights on elliptic curves, Effective results on linear dependence for elliptic curves, A remark on transitivity of Galois action on the set of uniquely divisible abelian extensions in \(\text{Ext}^1(E(\overline {\mathbb {Q}}),\Lambda)\), Hilbert irreducibility above algebraic groups

Cites Work

• Unnamed Item
• Kummer theory on extensions of Abelian varieties by tori
• One-parametric \(p\)-adic subgroups of a group variety
• An application of the division theory of elliptic functions to diophantine approximation
• Galois properties of points of finite order of elliptic curves
• THE COHOMOLOGY OF ABELIAN VARIETIES OVER A NUMBER FIELD