| Kommentar |
The aim of the seminar is to study questions arising from Hartog's Extension Theorem (every holomorphic function on P \setminus P', where P' < P is a smaller polydisk inside a given polydisk P, automatically extends to all of P): what are the domains that support a holomorphic function that does not extend to any bigger domain? This is closely related to analytic continuation, multivaluedness of continuation, curvature properties of boundaries of domains, etc.
Alternatively, we will study automorphisms of bounded domains in CC^n. |
| Literatur |
- Narasimhan: Several Complex Variables, University of Chicago Press
- Gunning: Introduction to holomorphic functions of several variables, Vol. I: Function Theory, Wadsworth & Brooks / Cole
- Fritzsche, Grauert: From holomorphic functions to complex manifolds, Springer
- Range: Holomorphic functions and integral representations in several complex variables, Springer
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