Degré des diviseurs sur les families de courbes de P3.
Degree of the fibres of an elliptic fibration
Let an elliptic fibration with general fibre . Let be the minima of the non-zero intersection numbers where runs successively through the following sets: effective divisors on , invertible sheaves spanned by global sections, ample divisors and very ample divisors. Let be the maximum of the multiplicities of the fibres of . We prove that if and only if and that if and only if .
Descent for the K-Theory of Polynomial Rings.
Descent, motives and K-theory.
Description de Hilb n C ... .
Détermination immédiate, par le principe de correspondance, du nombre de points d'intersection de deux courbes d'ordre quelconque, qui se trouvent à distance finie.
Determining obstructions for space curves, with applications to non-reduced components of the Hilbert scheme.
Diagonalizably linearized coherent sheaves
Die Chowvarietät der ungeordneten Punktetripel
Die Picard-Zahlen der Singularitäten ... = 0
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