The norm map for ordinary Abelian varieties

DOI10.1016/0021-8693(78)90271-5zbMath0417.14035OpenAlexW2082977528MaRDI QIDQ754940

Jonathan Lubin, Michael I. Rosen

Publication date: 1978

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90271-5

zbMATH Keywords

cyclotomic extensionnorm map for abelian varieties

Mathematics Subject Classification ID

Arithmetic ground fields for abelian varieties (14K15) Ramification and extension theory (11S15)

Related Items (16)

Finite \(\Lambda\)-submodules of Selmer groups of Abelian varieties over cyclotomic \(\mathbb Z_p\)-extensions. ⋮ Cyclic length in the Brauer group of a p-adic elliptic curve ⋮ Arithmetic of formal groups and applications. I: Universal norm subgroups ⋮ The epsilon constant conjecture for higher dimensional unramified twists of (1) ⋮ Points de Heegner et dérivées de fonctions L p-adiques. (Heegner points and derivatives of p-adic L-functions) ⋮ On the rational points of abelian varieties over \({\mathbb{Z}}_ p\)- extensions of number fields ⋮ 2‐Selmer parity for hyperelliptic curves in quadratic extensions ⋮ On the local norm map for abelian varieties with good ordinary reduction ⋮ Arithmetic local constants for abelian varieties with extra endomorphisms ⋮ Iwasawa theory and \(p\)-adic heights ⋮ A generalized Mazur’s theorem and its applications ⋮ Universal norms on abelian varieties over global function fields ⋮ A representative of RΓ(N,T) for higher dimensional twists of ℤpr(1) ⋮ Iwasawa L-functions of varieties over algebraic number fields. A first approach ⋮ \(p\)-adic height pairings. II ⋮ Overview of Some Iwasawa Theory

Cites Work

• Rational points of Abelian varieties with values in towers of number fields

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