Results 51 to 60 of about 114 (105)

On the Dihedral Main Conjectures of Iwasawa Theory for Hilbert Modular Eigenforms [PDF]

Canadian Journal of Mathematics, 2013
AbstractWe construct a bipartite Euler systemin the sense ofHoward forHilbertmodular eigenforms of parallel weight two over totally real fields, generalizing works of Bertolini–Darmon, Longo, Nekovar, Pollack–Weston, and others. The construction has direct applications to Iwasawa's main conjectures.
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Unlikely intersections on the p-adic formal ball. [PDF]

Res Number Theory, 2023
Serban V.
europepmc   +1 more source

An Euler system for GU(2, 1). [PDF]

Math Ann, 2022
Loeffler D, Skinner C, Zerbes SL.
europepmc   +1 more source

Irreducibility of limits of Galois representations of Saito-Kurokawa type. [PDF]

Res Number Theory, 2021
Berger T, Klosin K.
europepmc   +1 more source

Iwasawa Main Conjecture for Supersingular Elliptic Curves and BSD conjecture

, 2014
The preprint is superseded by part of the new preprint 2409 ...
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Translates of rational points along expanding closed horocycles on the modular surface. [PDF]

Math Ann, 2022
Burrin C, Shapira U, Yu S.
europepmc   +1 more source

On a Noncommutative Iwasawa Main Conjecture for Function Fields

, 2017
We formulate and prove an analogue of the non-commutative Iwasawa Main Conjecture for $\ell$-adic representations of the Galois group of a function field of characteristic $p$. We also prove a functional equation for the resulting non-commutative $L$-functions. As corollaries, we obtain non-commutative generalisations of the main conjecture for Picard-$
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Anticyclotomic Iwasawa main conjectures for modular forms

Let $f$ be a newform of even weight at least $4$, level $N$ and trivial character. Let $p\nmid N$ be an odd prime number that is ordinary for $f$ and let $K$ be an imaginary quadratic field satisfying a generalized Heegner hypothesis relative to $N$. In this paper, we prove (under mild arithmetic assumptions) Iwasawa main conjectures for $f$ over the ...
Longo, Matteo, Pati, Maria Rosaria, Vigni, Stefano   +2 more
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Equivariant Bloch-Kato conjecture and non-abelian Iwasawa Main Conjecture

, 2002
This is a contribution to the ICM 2002. We explain the relation between the (equivariant) Bloch-Kato conjecture for special values of L-functions and the Main Conjecture of (non-abelian) Iwasawa theory. On the way we will discuss briefly the case of Dirichlet characters in the abelian case.
Huber, Annette, Kings, Guido
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Congruences and the Iwasawa Main Conjecture for modular forms

Publications mathématiques de Besançon. Algèbre et théorie des nombres
In the early 2000s, Ralph Greenberg asked whether the Iwasawa Main Conjecture could be proven in a Hida family of nearly-ordinary p -adic eigencuspforms by propagating it from a known case through congruences. Emerton-Pollack-Weston showed that this
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