Hida families, \(p\)-adic heights, and derivatives

DOI10.5802/aif.2584zbMath1259.11099OpenAlexW2325524364MaRDI QIDQ624786

Trevor Arnold

Publication date: 9 February 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116333

zbMATH Keywords

Iwasawa theory\(p\)-adic \(L\)-functionEuler systemHida family\(p\)-adic height

Mathematics Subject Classification ID

Galois cohomology (11S25) Congruences for modular and (p)-adic modular forms (11F33) Holomorphic modular forms of integral weight (11F11) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)

Related Items (1)

The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions

Cites Work

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• On ordinary \(\lambda\)-adic representations associated to modular forms
• Galois representations, Kähler differentials and ``main conjectures
• Iwasawa theory and \(p\)-adic heights
• Euler system for Galois deformations.
• On the structure of certain Galois cohomology groups
• Iwasawa modules attached to congruences of cusp forms
• Height pairings in families of deformations.
• A generalization of the Coleman map for Hida deformations
• Euler Systems
• On the two-variable Iwasawa main conjecture

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