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- Title
Function Theoretic Properties of Symmetric Powers of Complex Manifolds.
- Authors
Zwonek, Włodzimierz
- Abstract
In the paper we study properties of symmetric powers of complex manifolds. We investigate a number of function theoretic properties [e. g. (quasi) c-finite compactness, existence of peak functions] that are preserved by taking the symmetric power. The case of symmetric products of planar domains is studied in a more detailed way. In particular, a complete description of the Carathéodory and Kobayashi hyperbolicity and Kobayashi completeness in that class of domains is presented.
- Publication
Journal of Geometric Analysis, 2020, Vol 30, Issue 2, p1226
- ISSN
1050-6926
- Publication type
Article
- DOI
10.1007/s12220-019-00233-z