Lineare Differentialgleichungen zwischen den Perioden der hyperelliptischen Integrale erster Gattung
Linking the conjectures of Artin-Tate and Birch-Swinnerton-Dyer
Local Flat Duality of Abelian Varieties.
Local heights on Abelian varieties and rigid analytic uniformization.
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 .
Local units, elliptic units, Heegner points and elliptic curves.
Logarithmic derivatives of Dirichlet -functions and the periods of abelian varieties
Logarithmic Surfaces and Hyperbolicity
In 1981 J. Noguchi proved that in a logarithmic algebraic manifold, having logarithmic irregularity strictly bigger than its dimension, any entire curve is algebraically degenerate.In the present paper we are interested in the case of manifolds having logarithmic irregularity equal to its dimension. We restrict our attention to Brody curves, for which we resolve the problem completely in dimension 2: in a logarithmic surface with logarithmic irregularity and logarithmic Kodaira dimension , any...
Loi de réciprocité quadratique dans les corps quadratiques imaginaires
À partir d’une courbe elliptique définie sur le corps des classes de Hilbert d’un corps quadratique imaginaire et à multiplicité complexe par l’anneau des entiers de , on construit des fonctions elliptiques. Nous établissons des formules produits relatives à ces fonctions. De ce fait, nous obtenons une formulation analytique du lemme de Gauss généralisé ainsi qu’une expression explicite pour le symbole quadratique de Legendre défini sur l’anneau des entiers du corps quadratique imaginaire. Comme...
L'opération de Cartier. Applications
Lower Bounds for Heights on Elliptic Curves.
Majorations affines du nombre de zéros d'intégrales abéliennes pour les hamiltoniens quartiques elliptiques
Maps defined by Thetanullwerte.
Minimal models for elliptic curves with complex multiplication
Minimal sections of conic bundles
Sia un fibrato in coniche standard con curva discriminante di grado . La varietà delle sezioni minime delle superfici , dove è una curva di grado , si spezza in due componenti e . Si prova che, mediante la mappa di Abel-Jacobi , una di queste componenti domina la Jacobiana intermedia , mentre l'altra domina il divisore theta . Questi risultati vengono applicati ad alcuni threefold di Fano birazionalmente equivalenti a un fibrato in coniche. In particolare si prova che il generico...
Minorations de formes linéaires de logarithmes elliptiques
Minorations de hauteurs sur les variétés abéliennes
Modular forms for Fr [T].
Modular forms vanishing at the reducible points of the Siegel upper-half space.
Moduli Spaces for Real Algebraic Curves and Real Abelian Varieties.