A Wong-Rosay type theorem for proper holomorphic self-maps

On the Wong-Rosay theorem

We prove a Wong-Rosay type theorem for a domain with a piecewise smooth generic strictly pseudoconvex boundary point.

Wong--Rosay定理的拟共形变体

Quasiconformal variants of the Wong--Rosay theorem

本研究针对Wong--Rosay定理，在拟共形设定下探索其变体形式，拓展了该定理的适用场景。

Wong-Rosay Theorem in almost complex manifolds

We study the compactness of sequences of diffeomorphisms in almost complex manifolds in terms of the direct images of the standard integrable structure.

Kähler 流形的 Wong-Rosay 型定理

The Wong-Rosay type theorem for Kähler manifolds

本文将 Wong-Rosay 定理从 $\mathbb{C}^n$ 的域推广至具有负截面曲率的单连通完备 Kähler 流形，并展示了具有全纯非不变度量流形的 Wong-Rosay 型定理。

An analogue of the squeezing function for projective maps

In the spirit of Kobayashi's applications of methods of invariant metrics to questions of projective geometry, we introduce a projective analogue of the complex squeezing function. Using Frankel's work, we prove that for convex domains it stays uniformly bounded from below. In the case of strongly convex domains, we show that it tends to 1 at the boundary. This is applied to get a new proof of a projective analogue of the Wong-Rosay theorem.

A unified approach to the theory of separately holomorphic mappings

We extend the theory of separately holomorphic mappings between complex analytic spaces. Our method is based on Poletsky theory of discs, Rosay Theorem on holomorphic discs and our recent joint-work with Pflug on cross theorems in dimension 1. It also relies on our new technique of conformal mappings and a generalization of Siciak's relative extremal function. Our approach illustrates the unified character: ``From local informations to global extensions". Moreover, it avoids systematically the use of the classical method of doubly orthogonal bases of Bergman type.