Finsler Structures of Negative Curvature in ...-Linear Fibre Spaces.
First Order Completeness Theorems.
Fixed points for automorphisms in Cartan domains of type IV
Fixpunktmengen kompakter Gruppen in Teilgebieten Steinscher Mannigfaltigkeiten.
Flabbiness for solution sheaves of microdifferential systems
Flag Structures on Seifert Manifolds.
Flatness testing over singular bases
We show that non-flatness of a morphism φ:X→ Y of complex-analytic spaces with a locally irreducible target of dimension n manifests in the existence of vertical components in the n-fold fibred power of the pull-back of φ to the desingularization of Y. An algebraic analogue follows: Let R be a locally (analytically) irreducible finite type ℂ-algebra and an integral domain of Krull dimension n, and let S be a regular n-dimensional algebra of finite type over R (but not necessarily a finite R-module),...
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...
Foliations and the generalized complex Monge-Ampère equations
Foliations by complex manifolds involving the complex Hessian [Book]
Foliations by curves with curves as singularities
Let be a holomorphic one-dimensional foliation on such that the components of its singular locus are curves and points . We determine the number of , counted with multiplicities, in terms of invariants of and , assuming that is special along the . Allowing just one nonzero dimensional component on , we also prove results on when the foliation happens to be determined by its singular locus.
Foliations in algebraic surfaces having a rational first integral.
Given a foliation F in an algebraic surface having a rational first integral a genus formula for the general solution is obtained. In the case S = P2 some new counter-examples to the classic formulation of the Poincaré problem are presented. If S is a rational surface and F has singularities of type (1, 1) or (1,-1) we prove that the general solution is a non-singular curve.
Foliations on the complex projective plane with many parabolic leaves
We prove that a foliation on with hyperbolic singularities and with “many" parabolic leaves (i.e. leaves without Green functions) is in fact a linear foliation. This is done in two steps: first we prove that there exists an algebraic leaf, using the technique of harmonic measures, then we show that the holonomy of this leaf is linearizable, from which the result follows easily.
Foliations with complex leaves
Foliations with complex leaves
Let be a smooth foliation with complex leaves and let be the sheaf of germs of smooth functions, holomorphic along the leaves. We study the ringed space . In particular we concentrate on the following two themes: function theory for the algebra and cohomology with values in .
Foliations with Degenerate Gauss maps on
We obtain a classification of codimension one holomorphic foliations on with degenerate Gauss maps.
Foliazioni di Monge-Ampère e classificazione olomorfa
Si illustrano alcuni sviluppi della teoria delle foliazioni di Monge-Ampère e delle sue applicazioni alla classificazione delle varietà complesse non compatte.
Fonction de Green pluriclomplexe à pole à l'infini sur un espace de Stein parabolique et applications.
Fonction de Green pluricomplexe et mesures pluriharmoniques
Fonction zêta associée à la série principale sphérique de certains espaces symétriques