A directional compactification of the complex Bloch variety.
A Generalization of Schwarz Lemma.
A new characterization of the analytic surfaces in that satisfy the local Phragmén-Lindelöf condition
We prove that an analytic surface in a neighborhood of the origin in satisfies the local Phragmén-Lindelöf condition at the origin if and only if satisfies the following two conditions: (1) is nearly hyperbolic; (2) for each real simple curve in and each , the (algebraic) limit variety satisfies the strong Phragmén-Lindelöf condition. These conditions are also necessary for any pure -dimensional analytic variety to satisify .
A new necessary condition for analytic varieties satisfying the local Phragmén-Lindelöf condition
For an analytic variety V in ℂⁿ containing the origin which satisfies the local Phragmén-Lindelöf condition it is shown that for each real simple curve γ and each d ≥ 1 the limit variety satisfies the strong Phragmén-Lindelöf condition (SPL).
A theorem on complete intersection curves and a consequence for the runge problem for analytic sets
Algébricité et compacité dans l'espace des cycles d'un espace analytique complexe.
An Extension of Calabi's Rigidity theorem to complex submanifolds of indefinite complex space forms.
Analycity of Sets Associated to Lelong Numbers and the Extension of Closed Positive Currents.
Analytic deviation of ideals and intersection theory of analytic spaces.
Analytic sets with proper projections.
Analytic Subvarietis in Cn with Given Isolated Singularities.
Analyticité des conditions de Whitney strictes
Soient un espace analytique complexe réduit de dimension pure et un sous-espace lisse de de dimension pure tel que dimension dimension .L’ensemble des points de en lesquels les conditions de Whitney strictes ne sont pas satisfaites par est un sous-espace analytique propre de .
Analytische Hyperflächen mit vorgegebenen Singularitäten*.
Annulation de la cohomologie à valeurs dans le faisceau structural et espaces de Stein
Approximation d'operateurs d'extension minimale et de division.
Approximation of sets defined by polynomials with holomorphic coefficients
Let X be an analytic set defined by polynomials whose coefficients are holomorphic functions. We formulate conditions on sequences of holomorphic functions converging locally uniformly to , respectively, such that the sequence of sets obtained by replacing ’s by ’s in the polynomials converges to X.
Asymptotic Curves on Real Analytic Surfaces in C2.