Die Tate-Vermutungen für Hilbert-Blumenthal-Flächen.
Differential Equations associated to Families of Algebraic Cycles
We develop a theory of differential equations associated to families of algebraic cycles in higher Chow groups (i.e., motivic cohomology groups). This formalism is related to inhomogenous Picard–Fuchs type differential equations. For a families of K3 surfaces the corresponding non–linear ODE turns out to be similar to Chazy’s equation.
Differentialformen zu Untergruppen der Siegelschen Modulgruppe zweiten Grades.
Dilogarithm, grassmannian complex and scissors congruence groups of algebraic polyhedra
Dimension of families of space curves
Dimensions of anisotropic indefinite quadratic forms. II.
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
Diskriminanten und Picard-Invarianten freier quadratischer Erweiterungen.
Diviseurs amples
Divisor class groups of some 3-dimensional singularities
Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
Divisor classes on Shimura curves rational over local fields.
Divisorenklassengruppen der Komplettierungen analytischer Algebra.
Divisorial Zariski decompositions on compact complex manifolds
Divisors of Bielliptic Surfaces and Ebeddings in IP4.
Divisors on general curves and cuspidal rational curves.
Divisors on hypersurfaces.
Divisors on real curves.
Divisors on the Blow-Up of the Projective Plane.