Intersections sur des courbes modulaires.
has connected fibers.
Jacobians of Drinfeld modular curves.
Kolyvagin's descent and Mordell-Weil groups over ring class fields.
La filtration canonique des points de torsion des groupes -divisibles
Étant donnés un entier et un groupe de Barsotti-Tate tronqué d’échelon et de dimension sur un anneau de valuation d’inégales caractéristiques, nous donnons une borne explicite sur son invariant de Hasse qui implique que sa filtration de Harder-Narasimhan possède un sous-groupe libre de rang . Lorsque nous redémontrons également le théorème d’Abbes-Mokrane ([120]) et de Tian ([164]) par des méthodes locales. On applique cela aux familles -adiques de tels objets et en particulier à certaines...
L'accouplement de Weil entre le sous-groupe de Shimura et le sous-groupe cuspidal de J [...] (p).
Lefschetz formulae for arithmetic varieties.
Les courbes de Shimura
L-functions and periods of polarized regular motives.
Local Indecomposability of Hilbert Modular Galois Representations
We prove the indecomposability of the Galois representation restricted to the -decomposition group attached to a non CM nearly -ordinary weight two Hilbert modular form over a totally real field under the assumption that either the degree of over is odd or the automorphic representation attached to the Hilbert modular form is square integrable at some finite place of .
Modular curves and Poncelet polygons.
Modular curves and the Eisenstein ideal
Modular embeddings and rigidity for Fuchsian groups
We prove a rigidity theorem for semiarithmetic Fuchsian groups: If Γ₁, Γ₂ are two semiarithmetic lattices in PSL(2,ℝ ) virtually admitting modular embeddings, and f: Γ₁ → Γ₂ is a group isomorphism that respects the notion of congruence subgroups, then f is induced by an inner automorphism of PGL(2,ℝ ).
Modular embeddings for some non-arithmetic Fuchsian groups
Modulflächen quadratischer Dikriminante.
Motives for Hilbert modular forms.
Motives for modular forms.
New examples of modular rigid Calabi-Yau threefolds.
The aim of this article is to present five new examples of modular rigid Calabi-Yau threefolds by giving explicit correspondences to newforms of weight 4 and levels 10, 17, 21 and 73.
Nice modular varieties.
Nombre de points des variétés de Shimura sur un corps fini