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arXiv · 2604.19364

Reinhardt domains determined by their endomorphisms

Rafael B. Andrist·Włodzimierz Zwonek
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Abstract

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.

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Rafael B. Andrist, Włodzimierz Zwonek. 2026-04-21. Reinhardt domains determined by their endomorphisms. https://arxiv.org/abs/2604.19364

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