Some open problems in higher dimensional complex analysis and complex dynamics. (English) Zbl 0993.32001
We present a collection of problems in complex analysis and complex dynamics in several variables.
Contents: 1. Introduction. 2. Complex dynamics problem list: 2.1. Discrete dynamics. 2.1.1. Fatou sets, stable sets. 2.1.2. Julia sets, currents. 2.2. Continuous dynamics. 3. Several complex variable problem list: 3.1. \(\overline\partial\) 3.2. Levi problem. 3.3. Holomorphic mappings. References.
Contents: 1. Introduction. 2. Complex dynamics problem list: 2.1. Discrete dynamics. 2.1.1. Fatou sets, stable sets. 2.1.2. Julia sets, currents. 2.2. Continuous dynamics. 3. Several complex variable problem list: 3.1. \(\overline\partial\) 3.2. Levi problem. 3.3. Holomorphic mappings. References.
MSC:
| 32-02 | Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces |
| 37-02 | Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory |
| 37F50 | Small divisors, rotation domains and linearization in holomorphic dynamics |
| 32W05 | \(\overline\partial\) and \(\overline\partial\)-Neumann operators |
| 32E40 | The Levi problem |
| 32H02 | Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables |
