CONTROL THEOREMS FOR ELLIPTIC CURVES OVER FUNCTION FIELDS

DOI10.1142/S1793042109002067zbMath1234.11071arXivmath/0604249MaRDI QIDQ3626318

Andrea Bandini, Ignazio Longhi

Publication date: 22 May 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604249

zbMATH Keywords

function fieldselliptic curvesIwasawa theorySelmer groupsFitting ideals

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items

Selmer groups for elliptic curves in \(\mathbb Z_l^d \)-extensions of function fields of characteristic \(p\) ⋮ Pontryagin duality for Iwasawa modules and abelian varieties ⋮ Aspects of Iwasawa theory over function fields ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ On Selmer groups of abelian varieties over \(\ell\)-adic Lie extensions of global function fields ⋮ FUNCTIONAL EQUATION OF CHARACTERISTIC ELEMENTS OF ABELIAN VARIETIES OVER FUNCTION FIELDS (ℓ ≠ p) ⋮ A generalized Mazur’s theorem and its applications ⋮ On Euler characteristics of Selmer groups for abelian varieties over global function fields ⋮ Iwasawa main conjecture for the Carlitz cyclotomic extension and applications ⋮ Characteristic ideals and Selmer groups ⋮ Torsion points on elliptic curves over function fields and a theorem of Igusa

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