Minimum essentiel et degrés d'obstruction des translatés de sous-tores
Minorant de la dérivée au point de la fonction attachée à une courbe elliptique de Weil
Minoration de la hauteur normalisée des hypersurfaces
1. Introduction. Dans un article célèbre, D. H. Lehmer posait la question suivante (voir [Le], §13, page 476): «The following problem arises immediately. If ε is a positive quantity, to find a polynomial of the form: where the a’s are integers, such that the absolute value of the product of those roots of f which lie outside the unit circle, lies between 1 and 1 + ε (...). Whether or not the problem has a solution for ε < 0.176 we do not know.» Cette question, toujours ouverte, est la source...
Minoration effective de la hauteur des points d’une courbe de définie sur ℚ
Minorations des hauteurs normalisées des sous-variétés des tores
Modèles minimaux des courbes de genre deux.
Models of group schemes of roots of unity
Let be a discrete valuation ring of mixed characteristics , with residue field . Using work of Sekiguchi and Suwa, we construct some finite flat -models of the group scheme of -th roots of unity, which we call Kummer group schemes. We carefully set out the general framework and algebraic properties of this construction. When is perfect and is a complete totally ramified extension of the ring of Witt vectors , we provide a parallel study of the Breuil-Kisin modules of finite flat models...
Modular curves and Poncelet polygons.
Modular Curves and the Class Group of Q(...p).
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
Modular equations of hyperelliptic X₀(N) and an application
Modular forms for Fr [T].
Modulare Einheiten für Funktionenkörper.
Modularity of a nonrigid Calabi-Yau manifold with bad reduction at 13
We identify the weight four newform of a modular Calabi-Yau manifold studied by Hulek and Verrill. The main obstacle is that this Calabi-Yau manifold is not rigid and has bad reduction at prime 13. Replacing the original fiber product of elliptic fibrations with a fiberwise Kummer construction we reduce the problem to studying the modularity of a rigid Calabi-Yau manifold with good reduction at primes p ≥ 5.
Modulflächen quadratischer Dikriminante.
Modulflächen und Modulkurven zur symmetrischen Hilbertschen Modulgruppe
Modultheorie hyperelliptischer Mumfordkurven.
«Monodromie archimédienne» d'une courbe complexe : un appendice à [3]