多复变全纯映射的值分布理论与复合算子理论

本课题的研究对象为全纯映射的值分布理论与复合算子理论，主要致力于近几年高维值分布理论与复合算子理论研究中的一些热点问题，包括复射影空间或射影代数簇上全纯映射涉及超曲面或除子的Picard型问题以及第二基本定理；单位球上全纯映射诱导的复合算子的一些性质，如本性范数，正规性，紧差等；以及这两个分支之间的关联。

The object of this project is to study the value distribution theory and composition operator theory in several complex variables. Particularly, the study will focus on the following topics: the Picard-type theorem and the second main theorem for the holomorphic mappings into the complex projective space (or projective variety) with respect to hypersurfaces (or divisors), some properties of composition operators induced by holomorphic mappings of the unit ball, such as the essential norm, normality, compact difference, and the relationship between these two theories.