Defining functions and cores of unbounded domains / von Tobias Harz. Wuppertal, 2015
Content
- Introduction
- Unbounded Wermer type sets
- Construction of Wermer type sets in codimension 1
- The general construction
- Some geometric properties
- Choice of constants - Part I. Absence of analytic structure
- Choice of constants - Part II. Complete pluripolarity
- A Liouville theorem for Wermer type sets
- Construction of Wermer type sets in codimension k
- Core sets of unbounded domains
- Global plurisubharmonic defining functions and the core
- Existence of global plurisubharmonic defining functions
- Examples of unbounded domains with nonempty core
- 1-pseudoconcavity of the core
- Liouville type properties of the core
- Pseudoconcavity of higher order cores
- Holomorphic extension of CR functions and the CR-core
- Open Questions
- Bibliography