Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms (Q4914607)

scientific article; zbMATH DE number 6153997

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English	Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms	scientific article; zbMATH DE number 6153997

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instance of

scholarly article

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title

Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms (English)

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author

Olivier Fouquet

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published in

Compositio Mathematica

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publication date

15 April 2013

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zbMATH Keywords

$p$-adic families of automorphic forms

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Iwasawa main conjecture

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Euler systems

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MaRDI profile type

MaRDI publication profile

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cites work

On the two-variable Iwasawa main conjecture

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Euler system for Galois deformations.

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Pseudo representations

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On the parity of ranks of Selmer groups

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Kolyvagin's method for Chow groups and Kuga-Sato varieties

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Class fields of abelian extensions of $\mathbb Q$

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Galois representations, Kähler differentials and ``main conjectures''

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Quaternion algebras, Heegner points and the arithmetic of Hida families

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The projectivity of the moduli space of stable curves. I: Preliminaries on "det" and "Div".

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On the Failure of the Gorenstein Property for Hecke Algebras of Prime Weight

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Euler systems, Iwasawa theory, and Selmer groups

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Variation of Heegner points in Hida families

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Iwasawa theory of Heegner points on abelian varieties of $\text{GL}_2$ type

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The Heegner point Kolyvagin system

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On p-adic Hecke algebras for $GL_ 2$ over totally real fields

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

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Heegner points and derivatives of $L$-series

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Variation of Iwasawa invariants in Hida families

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Galois representations modulo p and cohomology of Hilbert modular varieties

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Non-optimal levels of $\text{mod }l$ modular representations

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Heights of Heegner points on Shimura curves.

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Representations induced in an invariant subgroup

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On ordinary $\lambda$-adic representations associated to modular forms

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On some results of Atkin and Lehner

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Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert

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Special values of anticyclotomic $L$-functions.

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Nearly ordinary deformations of irreducible residual representations

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The special values of the zeta functions associated with Hilbert modular forms

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On canonical models of arithmetic quotients of bounded symmetric domains

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Good reduction of abelian varieties

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Automorphisms of finite groups

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Fonctions $L$ $p$-adiques, théorie d'Iwasawa et points de Heegner

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Algebraic $p$-adic $L$-functions in non-commutative Iwasawa theory

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On the equivariant Tamagawa number conjecture for Tate motives

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Non-triviality of CM points in ring class field towers. With an appendix by Christophe Cornut.

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Identifiers

zbMATH Open document ID

1286.11066

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DOI

10.1112/S0010437X12000619

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:4914607