An analogue of the Washington-Sinnott theorem for elliptic curves with complex multiplication I
From MaRDI portal
Publication:5253888
DOI10.1112/jlms/jdv004zbMath1323.11035OpenAlexW2116468572MaRDI QIDQ5253888
Publication date: 5 June 2015
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/jlms/jdv004
Elliptic curves over global fields (11G05) Complex multiplication and moduli of abelian varieties (11G15) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Class numbers, class groups, discriminants (11R29) Iwasawa theory (11R23)
Related Items (2)
Fine Selmer groups of congruent p-adic Galois representations ⋮ Growth of $p$-parts of ideal class groups and fine Selmer groups in $\mathbb Z_q$-extensions with $p\ne q$
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\Gamma\)-transforms of rational function measures on \(\mathbb Z_ S\)
- Growth of class numbers in \({\mathbb{Z}}_{\ell}\)-extensions connected with imaginary quadratic fields
- L-functions and division towers
- Ideal class groups in basic \(\mathbb Z_{p_1}\times\dots\times\mathbb Z_{p_s}\)-extensions of abelian number fields
- The ``main conjectures of Iwasawa theory for imaginary quadratic fields
- On the structure of certain Galois groups
- The non-p-part of the class number in a cyclotomic \(\mathbb{Z}_p\)-extension
- On the \(\mu\)-invariant of \(p\)-adic \(L\)-functions attached to elliptic curves with complex multiplication
- Transformation de Mellin-Leopoldt des fonctions elliptiques. (Mellin- Leopoldt transform of elliptic functions)
- Good reduction of abelian varieties
- Triviality of the ℓ-class groups in -extensions of for split primes p ≡ 1 modulo 4
- Elliptic Curves with Complex Multiplication and Iswasawa Theory
This page was built for publication: An analogue of the Washington-Sinnott theorem for elliptic curves with complex multiplication I
