Nevanlinna Defect Relations for Singular Divisors.
Nicht endlich erzeugte Primideale in Steinschen Algebren.
Noguchi-type convergence-extension theorems for (n,d)-sets
We introduce the notion of (n,d)-sets and show several Noguchi-type convergence-extension theorems for (n,d)-sets.
Non-Archimedean analytic curves in Abelian varieties.
Non-deformability of entire curves in projective hypersurfaces of high degree
In this article, we prove that there does not exist a family of maximal rank of entire curves in the universal family of hypersurfaces of degree in the complex projective space . This can be seen as a weak version of the Kobayashi conjecture asserting that a general projective hypersurface of high degree is hyperbolic in the sense of Kobayashi.
Non-embeddability of general unipotent diffeomorphisms up to formal conjugacy
The formal class of a germ of diffeomorphism is embeddable in a flow if is formally conjugated to the exponential of a germ of vector field. We prove that there are complex analytic unipotent germs of diffeomorphisms at () whose formal class is non-embeddable. The examples are inside a family in which the non-embeddability is of geometrical type. The proof relies on the properties of some linear functional operators that we obtain through the study of polynomial families of diffeomorphisms...
Non-existence of proper holomorphic maps between certain complex manifolds.
Normal families of holomorphic functions on infinite-dimensional spaces.
Normal families of meromorphic mappings of several complex variables into ℂPⁿ for moving hypersurfaces
We prove some normality criteria for families of meromorphic mappings of a domain into ℂPⁿ under a condition on the inverse images of moving hypersurfaces.
Normal families of proper holomorphic correspondences.
Normalization of almost conformal parabolic germs.
Normalization of bundle holomorphic contractions and applications to dynamics
We establish a Poincaré-Dulac theorem for sequences of holomorphic contractions whose differentials split regularly. The resonant relations determining the normal forms hold on the moduli of the exponential rates of contraction. Our results are actually stated in the framework of bundle maps.Such sequences of holomorphic contractions appear naturally as iterated inverse branches of endomorphisms of . In this context, our normalization result allows to estimate precisely the distortions of ellipsoids...