Control theorems for Selmer groups of nearly ordinary deformations
From MaRDI portal
Publication:2890364
DOI10.1515/CRELLE.2011.120zbMath1248.11041MaRDI QIDQ2890364
Olivier Fouquet, Tadashi Ochiai
Publication date: 8 June 2012
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Elliptic curves over global fields (11G05) (p)-adic theory, local fields (11F85) Galois representations (11F80) Zeta functions and (L)-functions of number fields (11R42) Iwasawa theory (11R23)
Related Items (9)
Deformations of Kolyvagin systems ⋮ Toric Periods and 𝑝-adic Families of Modular Forms of Half-Integral Weight ⋮ Purity for families of Galois representations ⋮ Main conjectures for higher rank nearly ordinary families. I ⋮ \(p\)-adic properties of motivic fundamental lines ⋮ Big Heegner point Kolyvagin system for a family of modular forms ⋮ Triple product \(p\)-adic \(L\)-functions for balanced weights ⋮ On primitive \(p\)-adic Rankin-Selberg \(L\)-functions ⋮ Triple product \(p\)-adic \(L\)-function attached to \(p\)-adic families of modular forms
Cites Work
- Unnamed Item
- On Galois representations associated to Hilbert modular forms
- On p-adic Hecke algebras for \(GL_ 2\) over totally real fields
- On ordinary \(\lambda\)-adic representations associated to modular forms
- A non-vanishing theorem for zeta functions of \(\mathrm{GL}_n\)
- The special values of the zeta functions associated with Hilbert modular forms
- Control theorem for Bloch-Kato's Selmer groups of \(p\)-adic representations
- Pseudo representations
- Nonvanishing theorems for automorphic \(L\)-functions on \(\text{GL} (2)\)
- Rational points of Abelian varieties with values in towers of number fields
- On the two-variable Iwasawa main conjecture
- Control theorem for Greenberg's Selmer groups of Galois deformations.
This page was built for publication: Control theorems for Selmer groups of nearly ordinary deformations
