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
Équations différentielles -adiques et dégénérescence de groupes de Hodge
Equivariant degenerations of spherical modules for groups of type
V. Alexeev and M. Brion introduced, for a given a complex reductive group, a moduli scheme of affine spherical varieties with prescribed weight monoid. We provide new examples of this moduli scheme by proving that it is an affine space when the given group is of type and the prescribed weight monoid is that of a spherical module.
Errata-Corrige : “Canonical surfaces with and ”
Erratum to : Morphisms, line bundles and moduli spaces in real algebraic geometry
Everywhere non reduced moduli spaces.
Explicit resolution of local singularities of moduli-spaces.
Extension of maps defined on many fibres.
Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of unicity base change is not needed and one recovers exactly the initial maps.
Extension of mixed Hodge modules
Extremal rays on smooth threefolds