Unique range sets without Fujimoto's hypothesis

关于 Fujimoto 涉及 $(2n+3)$ 个超平面的唯一性定理的一个注记

A note on Fujimoto's uniqueness theorem with $(2n+3)$ hyperplanes

本文指出 Fujimoto 唯一性定理证明中 Lemma 3.6 的错误，从新视角提供纠正思路与完整证明。

Fujimoto唯一性定理的扩展

Extension of Fujimoto's uniqueness theorems

本文扩展了Fujimoto的唯一性定理，研究了两个亚纯映射分别映射到不同维射影空间的情况，并在适当条件下证明了其维度相等。

Strong uniqueness polynomials: the complex case

The theory of strong uniqueness polynomials, satisfying the separation condition (first introduced by Fujimoto \cite{Fuj1}), for complex meromorphic functions is quite complete. We construct examples of strong uniqueness polynomials which do not necessary satisfy the separation condition by constructing regular 1-forms of Wronskian type, a method introduced in \cite{AWW}. We also use this method to produce a much easier proof in establishing the necessary and sufficient conditions for a polynomial, satisfying the separation condition, to be a strong uniqueness polynomials for meromorphic funct…

An Extension of Uniqueness Theorems for Meromorphic Mappings

In this paper, we give some results on the number of meromorphic mappings of C^m into P^n under a condition on the inverse images of hyperplanes in P^n. At the same time, we give an answer for an open question by H.Fujimoto.

关于映入 $\mathbb{P}^n$ 且带有一般 $(2n+2)$ 超平面的亚纯映射的唯一性定理

A uniqueness theorem for meromorphic maps into $\mathbb{P}^n$ with generic $(2n+2)$ hyperplanes

本文证明了带有一般 $(2n+2)$ 超平面且代数非退化的映入 $\mathbb{P}^n$ 的亚纯映射的唯一性定理，并给出了该结果的完整证明。

在圆环上亚纯函数以截断重数共享有限集

Meromorphic functions on annuli sharing finite sets with truncated multiplicity

本文为圆环上亚纯函数建立了带截断计数函数的第二基本定理，并推广了Fujimoto关于有限值域集的唯一性结果。