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.
Ein neuer Beweis des Satzes von Kodaira-Nirenberg-Spencer.
Eine globalanalytische Behandlung des Douglas'schen Problems.
Einstein Metrics and Complex Structures.
Equivariant connected sums of compact self-dual manifolds.
Ergänzung und Berichtigung zu : Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität.
Espaces de Moisezon relatifs et algébrisation des modifications analytiques.
Everywhere non reduced moduli spaces.
Exotic Deformations of Calabi-Yau Manifolds
We introduce Quantum Inner State manifolds (QIS manifolds) as (compact) -dimensional symplectic manifolds endowed with a -tamed almost complex structure and with a nowhere vanishing and normalized section of the bundle satisfying the condition .We study the moduli space of QIS deformations of a given Calabi-Yau manifold, computing its tangent space and showing that is non obstructed. Finally, we present several examples of QIS manifolds.
Familien komplexer Räume mit streng pseudokonvexer spezieller Faser
First Order Completeness Theorems.
Foliated structure of the Kuranishi space and isomorphisms of deformation families of compact complex manifolds
Consider the following uniformization problem. Take two holomorphic (parametrized by some analytic set defined on a neighborhood of in , for some ) or differentiable (parametrized by an open neighborhood of in , for some ) deformation families of compact complex manifolds. Assume they are pointwise isomorphic, that is for each point of the parameter space, the fiber over of the first family is biholomorphic to the fiber over of the second family. Then, under which conditions are the...