Characteristic ideals and Selmer groups

DOI10.1016/j.jnt.2015.05.011zbMath1329.11116arXiv1404.2788OpenAlexW2963505488MaRDI QIDQ2517149

Ignazio Longhi, Andrea Bandini, Francesc Bars Cortina

Publication date: 14 August 2015

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

Full work available at URL: https://arxiv.org/abs/1404.2788

zbMATH Keywords

Selmer groupscharacteristic idealsconstant abelian variety

Mathematics Subject Classification ID

Varieties over global fields (11G35) Iwasawa theory (11R23)

Related Items (6)

The Iwasawa Main Conjecture for constant ordinary abelian varieties over function fields ⋮ Euler characteristic and Akashi series for Selmer groups over global function fields ⋮ Aspects of Iwasawa theory over function fields ⋮ On Geometric Iwasawa Theory and Special Values of Zeta Functions ⋮ Stickelberger series and main conjecture for function fields ⋮ Fitting ideals of class groups in Carlitz-Hayes cyclotomic extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Characteristic ideals and Iwasawa theory
• Selmer groups for elliptic curves in \(\mathbb Z_l^d \)-extensions of function fields of characteristic \(p\)
• Euler system for Galois deformations.
• On the Hasse principle for finite group schemes over global function fields
• A generalization of the Cassels-Tate dual exact sequence
• Selmer groups over \(\mathbb Z_p^d\)-extensions
• Control theorems for $\ell$-adic Lie extensions of global function fields
• The Iwasawa Invariants of Γ-Extensions of a Fixed Number Field
• A generalized Mazur’s theorem and its applications
• On the Selmer groups of abelian varieties over function fields of characteristic p > 0
• CONTROL THEOREMS FOR ELLIPTIC CURVES OVER FUNCTION FIELDS

This page was built for publication: Characteristic ideals and Selmer groups