Das Modularproblem für holomorphe Einbettungen mit konkaver Umgebungsstruktur.
Deformation kompakter komplexer Mannigfaltigkeiten.
Deformation of holomorphic maps onto the blow-up of the projective plane
Deformationen von isolierten Singularitäten kohärenter analytischer Garben.
Deformationen von Quotientensingularitäten (nach zyklischen Gruppen).
Déformations des structures complexes sur les espaces homogènes de SL (2, ...).
Déformations équivariantes d'espaces analytiques complexes compacts
Deformations of a strongly pseudo-convex domain of complex dimension ≥ 4
Deformations of Complex Manifolds with Fixed Boundary Structure.
Deformations of Holomorphic Group Actions.
Deformations of Holomorphic Seifert Fiber Spaces.
Deformations of Kähler manifolds with nonvanishing holomorphic vector fields
We study compact Kähler manifolds admitting nonvanishing holomorphic vector fields, extending the classical birational classification of projective varieties with tangent vector fields to a classification modulo deformation in the Kähler case, and biholomorphic in the projective case. We introduce and analyze a new class of , and show that they form a smooth subspace in the Kuranishi space of deformations of the complex structure of . We extend Calabi’s theorem on the structure of compact Kähler...
Deformations of transversely holomorphic flows on spheres and deformations of hopf manifolds
Der Satz von Kuranishi für kompakte komplexe Räume.
Differential Batalin-Vilkovisky algebras arising from twilled Lie-Rinehart algebras
Twilled L(ie-)R(inehart)-algebras generalize, in the Lie-Rinehart context, complex structures on smooth manifolds. An almost complex manifold determines an "almost twilled pre-LR algebra", which is a true twilled LR-algebra iff the almost complex structure is integrable. We characterize twilled LR structures in terms of certain associated differential (bi)graded Lie and G(erstenhaber)-algebras; in particular the G-algebra arising from an almost complex structure is a (strict) d(ifferential) G-algebra...
Dimensions of Sheaf Cohomology Groups under Holomorphic Deformation.