Results 1 to 10 of about 640 (69)
Modular forms of half-integral weight on Γ0(4) with few nonvanishing coefficients modulo ℓ
Open Mathematics, 2022 Let kk be a nonnegative integer. Let KK be a number field and OK{{\mathcal{O}}}_{K} be the ring of integers of KK. Let ℓ≥5\ell \ge 5 be a prime and vv be a prime ideal of OK{{\mathcal{O}}}_{K} over ℓ\ell . Let ff be a modular form of weight k+12k+\frac{1}
Choi Dohoon, Lee Youngmin
doaj +1 more source
Heegner points in Coleman families
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 124-152, January 2021., 2021 Abstract We construct two‐parameter analytic families of Galois cohomology classes interpolating the étale Abel–Jacobi images of generalised Heegner cycles, with both the modular form and Grössencharacter varying in p‐adic families.
Dimitar Jetchev +2 more
wiley +1 more source
Automorphy lifting with adequate image
Forum of Mathematics, Sigma, 2023 Let F be a CM number field. We generalise existing automorphy lifting theorems for regular residually irreducible p-adic Galois representations over F by relaxing the big image assumption on the residual representation.
Konstantin Miagkov, Jack A. Thorne
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ON THE IRREDUCIBLE COMPONENTS OF SOME CRYSTALLINE DEFORMATION RINGS
Forum of Mathematics, Sigma, 2020 We adapt a technique of Kisin to construct and study crystalline deformation rings of $G_{K}$ for a finite extension $K/\mathbb{Q}_{p}$. This is done by considering a moduli space of Breuil–Kisin modules, satisfying an additional Galois condition, over ...
ROBIN BARTLETT
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On modular forms and the inverse Galois problem [PDF]
, 2009 In this article new cases of the Inverse Galois Problem are established. The main result is that for a fixed integer n, there is a positive density set of primes p such that PSL2(Fpn) occurs as the Galois group of some finite extension of the rational nu
Luis Dieulefait, G. Wiese
semanticscholar +1 more source
Forum of Mathematics, Sigma, 2023 Let K be a finite extension of the p-adic field ${\mathbb {Q}}_p$ of degree d, let ${{\mathbb {F}}\,\!{}}$ be a finite field of characteristic p and let ${\overline {{D}}}$ be an n-dimensional pseudocharacter in the sense of ...
Gebhard Böckle, Ann-Kristin Juschka
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Twist‐minimal trace formulas and the Selberg eigenvalue conjecture
Journal of the London Mathematical Society, Volume 102, Issue 3, Page 1067-1134, December 2020., 2020 Abstract We derive a fully explicit version of the Selberg trace formula for twist‐minimal Maass forms of weight 0 and arbitrary conductor and nebentypus character, and apply it to prove two theorems. First, conditional on Artin's conjecture, we classify the even 2‐dimensional Artin representations of small conductor; in particular, we show that the ...
Andrew R. Booker +2 more
wiley +1 more source
On Some l‐Adic Representations of Gal( (Q¯/Q) Attached to Noncongruence Subgroups [PDF]
, 2004 The l‐adic parabolic cohomology groups attached to noncongruence subgroups of SL2(Z) are finite‐dimensional l‐adic representations of Gal(Q¯/K) for some number field K.
A. Scholl
semanticscholar +1 more source
Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations [PDF]
, 2012 This article is the first part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. In this first part, we determine the smallest field over which the projectivisation
S. Arias-de-Reyna +2 more
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An Application of Maeda's Conjecture to the Inverse Galois Problem [PDF]
, 2012 It is shown that Maeda’s conjecture on eigenforms of level 1 implies that for every positive even d and every p in a density-one set of primes, the simple group PSL2(Fpd) occurs as the Galois group of a number field ramifying only at p. MSC (2010): 11F11
G. Wiese
semanticscholar +1 more source