Reinhardt domains determined by their endomorphisms
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908983665623040 |
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| author | Andrist, Rafael B. Zwonek, Włodzimierz |
| author_facet | Andrist, Rafael B. Zwonek, Włodzimierz |
| contents | We show that pseudoconvex Reinhardt domains in dimension two with isomorphic semigroups of holomorphic endomorphisms are biholomorphically or anti-biholomorphically equivalent. Moreover, we show that every Stein manifold that retracts to a properly embedded copy of the punctured complex line, is determined (up to biholomorphic or anti-biholomorphic equivalence) by its semigroup of holomorphic endomorphisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19364 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Reinhardt domains determined by their endomorphisms Andrist, Rafael B. Zwonek, Włodzimierz Complex Variables 32Q02, 32E10, 20M20 We show that pseudoconvex Reinhardt domains in dimension two with isomorphic semigroups of holomorphic endomorphisms are biholomorphically or anti-biholomorphically equivalent. Moreover, we show that every Stein manifold that retracts to a properly embedded copy of the punctured complex line, is determined (up to biholomorphic or anti-biholomorphic equivalence) by its semigroup of holomorphic endomorphisms. |
| title | Reinhardt domains determined by their endomorphisms |
| topic | Complex Variables 32Q02, 32E10, 20M20 |
| url | https://arxiv.org/abs/2604.19364 |