EuDML | Browse

Page 1

Displaying 1 – 9 of 9

Real analytic manifolds in $ℂ^{n}$ with parabolic complex tangents along a submanifold of codimension one

Patrick Ahern, Xianghong Gong (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

We will classify $n$ -dimensional real submanifolds in $ℂ^{n}$ which have a set of parabolic complex tangents of real dimension $n - 1$ . All such submanifolds are equivalent under formal biholomorphisms. We will show that the equivalence classes under convergent local biholomorphisms form a moduli space of infinite dimension. We will also show that there exists an $n$ -dimensional submanifold $M$ in $ℂ^{n}$ such that its images under biholomorphisms $(z_{1}, \dots, z_{n}) \mapsto (r z_{1}, \dots, r z_{n - 1}, r^{2} z_{n})$ , $r > 1$ , are not equivalent to $M$ via any local volume-preserving holomorphic...

Every $n$ -dimensional complex manifold (connected, paracompact and Hausdorff) is the image of the unit ball in $C^{n}$ under a finite holomorphic map that is locally biholomorphic.

Displaying 1 – 9 of 9

Real analytic manifolds in $ℂ^{n}$ with parabolic complex tangents along a submanifold of codimension one

Realtive komplexe Quotienten.

Réduction algébrique d'un morphisme faiblement Kählérien propre et applications.

Reflection principle in higher dimensions.

Regular holomorphic images of balls

Relative embeddings of discs into convex domains.

Retractions régulières.

Riemann's existence problem for a p-adic field.

Rigidity of Holomorphic Self-Mappings and the Automorphism Groups of Hyperbolic Stein Spaces.

Currently displaying 1 – 9 of 9