Die Homologie isolierter Singularitäten.
Die Modulräume 3MstIP3 (?2,3,c3) .
Die Singularitäten der Modulmannigfaltigkeit ...(n) der stabilen Kurven vom Geschlecht g...2 mit n-Teilungspunktstruktur.
Diffeomorphism types of elliptic surfaces with pg=1.
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.
Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves
Differentials of the second kind on a product surface.
Diophantine approximation and deformation
Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
Double fibres and double covers: paucity of rational points
Double point resolutions of deformations of rational singularities
Effective Convergence Bounds for Frobenius Structures on Connections
Effective Nullstellensatz for arbitrary ideals
Let be polynomials in variables without a common zero. Hilbert’s Nullstellensatz says that there are polynomials such that . The effective versions of this result bound the degrees of the in terms of the degrees of the . The aim of this paper is to generalize this to the case when the are replaced by arbitrary ideals. Applications to the Bézout theorem, to Łojasiewicz–type inequalities and to deformation theory are also discussed.
Ein Beispiel zur Berechnung der Picard-Lefschetz-Monodromie für nichtisolierte Hyperflächensingularitäten.
Ein Kriterium für die Offenheit der Versalität.
Eine Bemerkung zu einer Arbeit von P. E. Newstead.
Eine Klassenzahlformel für singuläre Moduln der Picardschen Modulgruppen
Einige Beispiele nichtalgebraischer Singularitäten.
Einschränkung stabiler Vektorraumbündel vom Rang 3 Hyperebenen des projectiven Raumes.
Équations aux différences finies, intégrales de fonctions multiformes et polyèdres de Newton