On Serre's uniformity conjecture for semistable elliptic curves over totally real fields [PDF]
, 2015 Let $K$ be a totally real field, and let $S$ be a finite set of non-archimedean places of $K$. It follows from the work of Merel, Momose and David that there is a constant $B_{K,S}$ so that if $E$ is an elliptic curve defined over $K$, semistable outside
Anni, Samuele, Siksek, Samir
core +4 more sources
On Artin representations and nearly ordinary Hecke algebras over totally real fields
Documenta Mathematica, 2013 We prove many new cases of the strong Artin conjecture for two-dimensional, totally odd, insoluble (icosahedral) representations Gal(F/F ) → GL2(C) of the absolute Galois group of a totally real field F .
Shu Sasaki
semanticscholar +1 more source
Hyperbolicity of singular spaces [PDF]
, 2018 We study the hyperbolicity of singular quotients of bounded symmetric domains. We give effective criteria for such quotients to satisfy Green-Griffiths-Lang's conjectures in both analytic and algebraic settings.
Cadorel, Benoit +2 more
core +3 more sources
Elementary matrix decomposition and the computation of Darmon points with higher conductor [PDF]
, 2014 a
Guitart, X., Masdeu, M.
core +1 more source
Several variables $p$-adic $L$-functions for Hida families of Hilbert modular forms
Documenta Mathematica, 2012 After formulating Conjecture A for p-adic L-functions defined over ordinary Hilbert modular Hida deformations on a totally real field F of degree d, we construct two p-adic L-functions of d+1-variable depending on the parity of weight as a partial result
T. Ochiai
semanticscholar +1 more source
Modularity of the Consani-Scholten quintic. With an appendix by José Burgos Gil and Ariel Pacetti
Documenta Mathematica, 2012 We prove that the Consani-Scholten quintic, a CalabiYau threefold over Q, is Hilbert modular. For this, we refine several techniques known from the context of modular forms.
L. Dieulefait, Ariel Pacetti, M. Schütt
semanticscholar +1 more source
Further refinement of strong multiplicity one for GL(2) [PDF]
, 2013 We obtain a sharp refinement of the strong multiplicity one theorem for the case of unitary non-dihedral cuspidal automorphic representations for GL(2).
Walji, Nahid
core +1 more source
, 2010 We consider some questions related to the signs of Hecke eigenvalues or Fourier coefficients of classical modular forms. One problem is to determine to what extent those signs, for suitable sets of primes, determine uniquely the modular form, and we give
E. KOWALSKI +13 more
core +2 more sources
Equidistribution of signs for Hilbert modular forms of half-integral weight
, 2018 We prove an equidistribution of signs for the Fourier coefficients of Hilbert modular forms of half-integral weight. Our study focuses on certain subfamilies of coefficients that are accessible via the Shimura correspondence.
Kaushik, Surjeet +2 more
core +1 more source
Stability transitions for axisymmetric relative equilibria of Euclidean symmetric Hamiltonian systems [PDF]
, 2008 In the presence of noncompact symmetry, the stability of relative equilibria under momentum-preserving perturbations does not generally imply robust stability under momentum-changing perturbations.
Abraham R +11 more
core +3 more sources