Deformations of Kolyvagin systems
From MaRDI portal
Publication:317520
DOI10.1007/s40316-015-0044-4zbMath1455.11146arXiv1303.1407OpenAlexW1814065313MaRDI QIDQ317520
Publication date: 30 September 2016
Published in: Annales Mathématiques du Québec (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.1407
Elliptic curves over global fields (11G05) Abelian varieties of dimension (> 1) (11G10) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40) Iwasawa theory (11R23)
Related Items (5)
Main conjectures for higher rank nearly ordinary families. I ⋮ Stark systems over Gorenstein local rings ⋮ Integral Iwasawa theory of Galois representations for non-ordinary primes ⋮ Anticyclotomic \(p\)-ordinary Iwasawa theory of elliptic modular forms ⋮ Big Heegner point Kolyvagin system for a family of modular forms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiplicative reduction and the cyclotomic main conjecture for \(\mathrm{GL}_2\)
- Analytic families of finite-slope Selmer groups
- Critical \(p\)-adic \(L\)-functions
- Characteristic ideals and Iwasawa theory
- Kato's Euler system in families. I
- Variation of Iwasawa invariants in Hida families
- Variation of Heegner points in Hida families
- Triangulation of refined families
- Serre's modularity conjecture. I
- Modularity of 2-adic Barsotti-Tate representations
- Galois representations into \(\text{GL}_2(\mathbb Z_pX)\) attached to ordinary cusp forms.
- On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
- \(p\)-adic \(L\)-functions of an elliptic curve and rational points
- Iwasawa theory of \(p\)-adic representations over a local field
- Euler system for Galois deformations.
- A finiteness theorem for the symmetric square of an elliptic curve
- Modular elliptic curves and Fermat's Last Theorem
- Ring-theoretic properties of certain Hecke algebras
- On the anticyclotomic Iwasawa theory of CM forms at supersingular primes
- The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)
- Big Heegner point Kolyvagin system for a family of modular forms
- Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
- Galois properties of points of finite order of elliptic curves
- Rational points of Abelian varieties with values in towers of number fields
- On the density of modular points in universal deformation spaces
- Ranks of Selmer groups in an analytic family
- Control theorems for Selmer groups of nearly ordinary deformations
- Cohomology of arithmetic families of (𝜑,Γ)-modules
- Main Conjectures for CM Fields and a Yager-Type Theorem for Rubin–Stark Elements
- On Euler systems of rank $r$ and their Kolyvagin systems
- Refined class number formulas and Kolyvagin systems
- The Fontaine-Mazur conjecture for $ {GL}_2$
- -adic Kolyvagin Systems
- Coleman-adapted Rubin–Stark Kolyvagin systems and supersingular Iwasawa theory of CM abelian varieties
- on l-adic representations attached to modular forms II
- Iwasawa modules attached to congruences of cusp forms
- A generalization of the Coleman map for Hida deformations
- Kolyvagin systems
- On the Iwasawa theory of CM fields for supersingular primes
- Unobstructed modular deformation problems
- Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms
- Critical slope p ‐adic L ‐functions
- On the two-variable Iwasawa main conjecture
This page was built for publication: Deformations of Kolyvagin systems
