Proper holomorphic mappings between symmetrized ellipsoids

Details Proper holomorphic mappings between symmetrized ellipsoids Proper holomorphic mappings between symmetrized ellipsoids

2010-10-18

arxiv.org/abs/1010.3667v2

Mathematics

Complex Variables

10 pages, some modifications

Scientific paper

We characterize the existence of proper holomorphic mappings in the special
class of bounded $(1,2,...,n)$-balanced domains in $\mathbb{C}^n$, called the
symmetrized ellipsoids. Using this result we conclude that there are no
non-trivial proper holomorphic self-mappings in the class of symmetrized
ellipsoids. We also describe the automorphism groupof these domains.

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