Determination of Fermat varieties with trivial Hasse-Witt map (an application of the Farey series)
Determination of the poles of the topological zeta function for curves.
Die arithmetische Struktur der rationalen Punkte auf Kurven vom Geschlecht Eins
Die Beschränktheit der Stückzahl der Fasern K-analytischer Abbildungen.
Die Fundamentalgruppen Siegelscher Modulvarietäten.
Die Jacobi-Abbildung über dem Raum der Mumfordkurven.
Die Ordnung der Automorphismengruppe einer p-adischen Schottkykurve.
Die Wertehalbgruppe einer ebenen irreduziblen algebroiden Kurve.
Differential approach for the study of duals of algebraic-geometric codes on surfaces
The purpose of the present article is the study of duals of functional codes on algebraic surfaces. We give a direct geometrical description of them, using differentials. Even if this description is less trivial, it can be regarded as a natural extension to surfaces of the result asserting that the dual of a functional code on a curve is the differential code . We study the parameters of such codes and state a lower bound for their minimum distance. Using this bound, one can study some examples...
Differential characters and characteristic polynomial of Frobenius.
Differential characters of abelian varieties over p-adic fields.
Differential equations which come from geometry
Dihedral Galois representations and Katz modular forms.
Dilogarithms, Regulators and p-adic L-functions.
Dimensions of some affine Deligne–Lusztig varieties
Diophantine approximation on algebraic varieties
We present an overview of recent advances in diophantine approximation. Beginning with Roth's theorem, we discuss the Mordell conjecture and then pass on to recent higher dimensional results due to Faltings-Wustholz and to Faltings respectively.
Diophantine approximations on projective spaces.
Direct images in non-archimedean Arakelov theory
We develop a formalism of direct images for metrized vector bundles in the context of the non-archimedean Arakelov theory introduced in our joint work with S. Bloch. We prove a Riemann-Roch-Grothendieck theorem for this direct image.
Dirichlet motives via modular curves
Discrete groups, Mumford curves and Theta functions