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
Diskontinuierliche arithmetische Gruppen im Funktionenkörperfall.
Distribution des points de petite hauteur dans les groupes multiplicatifs
We prove a new lower bound for the height of points on a subvariety of a multiplicative torus, which lie outside the union of torsion subvarieties of . Although lower bounds for the heights of these points where already known (decreasing multi-exponential function of the degree for Scmhidt and Bombieri–Zannier, [Sch], [Bo-Za], and inverse monomial in the degree by the second author of this note and P. Philippon, [Da-Phi]), our method provesup to an the sharpest conjectures that can be formulated....
Distributions on Toroidal Groups.
Dividing rational points on abelian varieties of CM-type
Division fields of abelian varieties with complex multiplication
Division points on semi-abelian varieties.
Divisor class groups of some 3-dimensional singularities
Divisor classes on Shimura curves rational over local fields.
Double fibres and double covers: paucity of rational points
Drinfeld modules of rank 1 and algebraic curves with many rational points. II
Drinfeld shtukas and applications. (Chtoucas de Drinfeld et applications.)
Dualität bei abelschen Varietäten über reell abgeschlossenen Körpern.
Dualitätssatz für endliche kommutative Gruppenschemata über Kongruenzfunktionenkörpern.