On the parity of ranks of Selmer groups

DOI10.4310/AJM.2000.v4.n2.a11zbMath0973.11066OpenAlexW2621899474MaRDI QIDQ5929569

Jan Nekovář, Andrew Plater

Publication date: 5 April 2001

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/ajm.2000.v4.n2.a11

zbMATH Keywords

parity of ranksSelmer groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Congruences for modular and (p)-adic modular forms (11F33) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Galois representations (11F80) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (14)

The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions ⋮ Heegner cycles and higher weight specializations of big Heegner points ⋮ Variation of Heegner points in Hida families ⋮ ON THE EXCEPTIONAL SPECIALIZATIONS OF BIG HEEGNER POINTS ⋮ Quaternion algebras, Heegner points and the arithmetic of Hida families ⋮ \(p\)-adic weight pairings on pro-Jacobians ⋮ Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms ⋮ The algebraic \(p\)-adic \(L\)-function and isogeny between families of Galois representations ⋮ On Bloch-Kato Selmer groups and Iwasawa theory of \(p\)-adic Galois representations ⋮ Parity-induced Selmer growth for symplectic, ordinary families ⋮ Kolyvagin systems and Iwasawa theory of generalized Heegner cycles ⋮ Explicit computations of Hida families via overconvergent modular symbols ⋮ A BSD formula for high-weight modular forms ⋮ Exceptional zero formulae and a conjecture of Perrin-Riou

This page was built for publication: On the parity of ranks of Selmer groups