-cohomology of locally symmetric varieties
-estimates and existence theorems for generalized analytic functions in several variables.
extension of adjoint line bundle sections
We prove an extension theorem of Ohsawa-Takegoshi type for line bundle sections on a subvariety of general codimension in a normal projective variety. Our method of proof gives conditions to be satisfied for such extension in a general setting, while such conditions are satisfied when the subvariety is given by an appropriate multiplier ideal sheaf.
-domains of holomorphy and the Bergman kernel
We give a characterization of -domains of holomorphy with the help of the boundary behavior of the Bergman kernel and geometric properties of the boundary, respectively.
-estimates for solutions of -equation on strongly -convex domains
L1 and L∞-estimates with a local weight for the ∂-equation on convex domains in Cn.
We construct a defining function for a convex domain in Cn that we use to prove that the solution-operator of Henkin-Romanov for the ∂-equation is bounded in L1 and L∞-norms with a weight that reflects not only how near the point is to the boundary of the domain but also how convex the domain is near the point. We refine and localize the weights that Polking uses in [Po] for the same type of domains because they depend only on the Euclidean distance to the boudary and don't take into account the...
L2 estimates and existence theorems for the tangential Cauchy-Riemann complex.
L²-Angles between one-dimensional tubes
L2-Cohomologie des espaces stratifiés.
L2-cohomology and intersection homology of certain algebraic varieties with isolated singularities.
La caractéristiqe d'Euler du complexe de Gauss-Manin.
La conjecture de la couronne en analyse complexe et p-adique
La construction de la déformation semi-universelle d'un germe de variété analytique complexe
La décomposition d'un élément analytique en facteurs singuliers
La déformation des formes hermitiennes et son application aux domaines de Siegel
La dimension de la frontière d'un ensemble analytique dans son saturé par une application
Soit une application analytique propre entre des ouverts de , soit un sous-ensemble analytique de et soit . On donne des conditions pour que soit de codimension 1 dans .
La distance intégrée de Kobayashi sur une variété Banachique complexe
Nel caso di una varietà di Banach complessa , si costruisce una regolarizzata della metrica infinitesimale di Kobayashi. Se ne deduce una distanza integrata di Kobayashi e, se è iperbolica, si mostra che questa distanza è uguale alla distanza di Kobayashi.
La fonction zeta d'une monodromie.
La forme hermitienne canonique sur la partie invariante de la cohomologie de la fibre de Milnor d'une singularité isolée de polynôme quasi-homogène
La l-forme de torsion d'une variété hermitienne compacte.