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Deformations of Kolyvagin systems (Q317520)

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Language	Label	Description	Also known as
English	Deformations of Kolyvagin systems	scientific article

Statements

scholarly article

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Deformations of Kolyvagin systems (English)

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Kâzım Büyükboduk

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Annales Mathématiques du Québec

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publication date

30 September 2016

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full work available at URL

https://arxiv.org/abs/1303.1407

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zbMATH Keywords

Euler systems

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Kolyvagin systems

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deformations of Galois representations

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Hida families

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eigencurve

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MaRDI profile type

MaRDI publication profile

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Characteristic ideals and Iwasawa theory

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Critical \(p\)-adic \(L\)-functions

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Ranks of Selmer groups in an analytic family

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On the density of modular points in universal deformation spaces

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Coleman-adapted Rubin–Stark Kolyvagin systems and supersingular Iwasawa theory of CM abelian varieties

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On Euler systems of rank $r$ and their Kolyvagin systems

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-adic Kolyvagin Systems

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On the Iwasawa theory of CM fields for supersingular primes

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Big Heegner point Kolyvagin system for a family of modular forms

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Main Conjectures for CM Fields and a Yager-Type Theorem for Rubin–Stark Elements

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On the anticyclotomic Iwasawa theory of CM forms at supersingular primes

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Variation of Iwasawa invariants in Hida families

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A finiteness theorem for the symmetric square of an elliptic curve

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Control theorems for Selmer groups of nearly ordinary deformations

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Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms

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Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne

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Galois representations into \(\text{GL}_2(\mathbb Z_p[[X]])\) attached to ordinary cusp forms.

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Iwasawa modules attached to congruences of cusp forms

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Variation of Heegner points in Hida families

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Modularity of 2-adic Barsotti-Tate representations

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The Fontaine-Mazur conjecture for $ {GL}_2$

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Cohomology of arithmetic families of (𝜑,Γ)-modules

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Serre's modularity conjecture. I

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Triangulation of refined families

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Rational points of Abelian varieties with values in towers of number fields

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Kolyvagin systems

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Refined class number formulas and Kolyvagin systems

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A generalization of the Coleman map for Hida deformations

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Euler system for Galois deformations.

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On the two-variable Iwasawa main conjecture

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Analytic families of finite-slope Selmer groups

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\(p\)-adic \(L\)-functions of an elliptic curve and rational points

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Iwasawa theory of \(p\)-adic representations over a local field

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Critical slope <i>p</i> ‐adic <i>L</i> ‐functions

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on <i>l</i>-adic representations attached to modular forms II

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Galois properties of points of finite order of elliptic curves

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On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)

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Multiplicative reduction and the cyclotomic main conjecture for \(\mathrm{GL}_2\)

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The Iwasawa Main Conjectures for \(\mathrm{GL}_{2}\)

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Ring-theoretic properties of certain Hecke algebras

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Kato's Euler system in families. I

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Unobstructed modular deformation problems

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Modular elliptic curves and Fermat's Last Theorem

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S40316-015-0044-4

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Sitelinks

Mathematics(1 entry)

mardi Publication:317520

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