Ein Verschwindungssatz für gewisse Kohomologiegruppen in Umgebung kompakter komplexer Unterräume mit konvex-konkavem Normalenbündel.
Eine Bemerkung über relative Ext-Garben.
Einstein-Hermitian connections on principal bundles and stability.
Endlichkeits- und Verschwindungssätze für (schwach-) konstruierbare Garbenkomplexe auf komplexen Räumen.
Equidistribution estimates for Fekete points on complex manifolds
We study the equidistribution of Fekete points in a compact complex manifold. These are extremal point configurations defined through sections of powers of a positive line bundle. Their equidistribution is a known result. The novelty of our approach is that we relate them to the problem of sampling and interpolation on line bundles, which allows us to estimate the equidistribution of the Fekete points quantitatively. In particular we estimate the Kantorovich–Wasserstein distance of the Fekete points...
Equivariant connected sums of compact self-dual manifolds.
Equivariant short exact sequences of vector bundles and their analytic torsion forms
Ergänzung zu der Arbeit: Vektorbündel vom Rang 2 über dem n-dimensionalen komplex-projektiven Raum.
(Erratum). A Differential Geometrie Criterion for Moishezon Spaces
Erratum et Addendum zu der Arbeit: Über exzeptionelle Mengen.
Estimations pour l’opérateur d’un fibré vectoriel holomorphe semi-positif au-dessus d’une variété kählérienne complète
Eta invariants and complex immersions
Existence and approximation Theorems on a Weakly 1-Complete Analytic Space.
Existence of sections of line bundles over a torodial group and its applications.
Exploding orbits of holomorphic structures.
Extension of holomorphic bundles to the disc (and Serre’s Problem on Stein bundles)
Holomorphic bundles, with fiber , defined on open sets in by locally constant transition automorphisms, are shown to extend to holomorphic bundles on the Riemann sphere. In particular, it allows us to give an example of a non-Stein holomorphic bundle on the unit disc, with polynomial transition automorphisms.
Extension of line bundles and holomorphic maps
Extension of Positive Line Bundles and Meromorphic Maps.
Factorization of rank two theta functions. II. Proof of the Verlinde formula.
Faisceaux analytiques semi-cohérents
Nous définissons deux notions nouvelles en géométrie analytique réelle, celle de fonction Nash-analytique et celle de faisceau semi-cohérent. Avec ces notions, nous obtenons des théorèmes de cohérence analogues à ceux du cas complexe (théorème de cohérence d’Oka, théorème de l’image directe, cohérence d’un ensemble analytique complexe).