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arXiv · 1010.3667

Proper holomorphic mappings between symmetrized ellipsoids

Pawel Zapalowski
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Abstract

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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Pawel Zapalowski. 2010-10-18. Proper holomorphic mappings between symmetrized ellipsoids. https://doi.org/10.1007/s00013-011-0311-9

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