Das Horrocks-Mumford-Bündel und das Modul-Schema für stabile 2-Vektorbündel über IP4 mit c1= -1, c2 = 4.
Degré de la variété duale d'une hypersurface à singularités isolées
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 .
Der Gauß-Manin- Zusammenhang isolierter Singularitäten von vollständigen Durchschnitten.
Diagonales de fractions rationnelles et équations de Picard-Fuchs
Diagonalizably linearized coherent sheaves
Die Homologie isolierter Singularitäten.
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.
Differentials of the second kind on a product surface.