The algebraic \(p\)-adic \(L\)-function and isogeny between families of Galois representations

DOI10.1016/j.jpaa.2007.10.001zbMath1178.11071OpenAlexW2048962528MaRDI QIDQ2477642

Tadashi Ochiai

Publication date: 14 March 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2007.10.001

zbMATH Keywords

deformation ringsalgebraic \(L_p\)-functions

Mathematics Subject Classification ID

Galois cohomology (11S25) Iwasawa theory (11R23) Galois cohomology (11R34)

Related Items (2)

Stable lattices in modular Galois representations and Hida deformation ⋮ The algebraic functional equation of Selmer groups for CM fields

Cites Work

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• Variation of Iwasawa invariants in Hida families
• Stickelberger elements and modular parametrizations of elliptic curves
• Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
• On ordinary \(\lambda\)-adic representations associated to modular forms
• The ``main conjectures of Iwasawa theory for imaginary quadratic fields
• Euler system for Galois deformations.
• A remark on the rational points of abelian varieties with values in cyclotomic $Z_p$-extensions
• A generalization of the Coleman map for Hida deformations
• On the two-variable Iwasawa main conjecture
• On the parity of ranks of Selmer groups

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