Calcul du nombre de cusps dans la déformation semi-universelle d'une singularité isolée d'hypersurface complexe
Caractérisation de isomorphismes analytiques sur la boule-unité de Cn pour une norme.
Cartan-Chern-Moser theory on algebraic hypersurfaces and an application to the study of automorphism groups of algebraic domains
For a strongly pseudoconvex domain defined by a real polynomial of degree , we prove that the Lie group can be identified with a constructible Nash algebraic smooth variety in the CR structure bundle of , and that the sum of its Betti numbers is bounded by a certain constant depending only on and . In case is simply connected, we further give an explicit but quite rough bound in terms of the dimension and the degree of the defining polynomial. Our approach is to adapt the Cartan-Chern-Moser...
Certain partial differential subordinations on some Reinhardt domains in
We obtain an extension of Jack-Miller-Mocanu’s Lemma for holomorphic mappings defined in some Reinhardt domains in . Using this result we consider first and second order partial differential subordinations for holomorphic mappings defined on the Reinhardt domain with p ≥ 1.
Classes de Nevanlinna sur une intersection d'ouverts strictement pseudoconvexes.
On a finite intersection of strictly pseudoconvex domains we define two kinds of natural Nevanlinna classes in order to take the growth of the functions near the sides or the edges into account. We give a sufficient Blaschke type condition on an analytic set for being the zero set of a function in a given Nevanlinna class. On the other hand we show that the usual Blaschke condition is not necessary here.
Classification of Isolated Hypersurface Singularities by Their Moduli Algebras.
Common Fixed Points of Commuting Holomorphic Maps.
Commuting holomorphic maps in strongly convex domains
Compact Varieties of Surjective Holomorphic Endomorphisms.
Compact Varieties of Surjective Holomorphic Mappings.
Completeness, Reinhardt domains and the method of complex geodesics in the theory of invariant functions [Book]
Complex analytic geometry of complex parallelizable manifolds
Complex dynamics, value distributions, and potential theory.
Complex geometry of generalized annuli.
Condition and Fefferman's mapping theorem.
Construction de disques analytiques et régularité de fonctions holomorphes au bord.
Continuity and convergence properties of extremal interpolating disks.
Let a be a sequence of points in the unit ball of Cn. Eric Amar and the author have introduced the nonnegative quantity ρ(a) = infα infk Πj:j≠k dG(αj, αk), where dG is the Gleason distance in the unit disk and the first infimum is taken over all sequences α in the unit disk which map to a by a map from the disk to the ball.The value of ρ(a) is related to whether a is an interpolating sequence with respect to analytic disks passing through it, and if a is an interpolating sequence in the ball, then...
Converging semigroups of holomorphic maps
In this paper we study the semigroups of holomorphic maps of a strictly convex domain into itself. In particular, we characterize the semigroups converging, uniformly on compact subsets, to a holomorphic map .
Coréduction algébrique d'un espace analytique faiblement Kählérien compact.
Correction to my Paper: Proper Holomorphic Self-Maps of the Unit Ball.