Stein spaces and Stein algebras

Olivier Benoist

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arXiv · 2410.05521

Stein spaces and Stein algebras

Olivier Benoist

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Abstract

We prove that the category of Stein spaces and holomorphic maps is anti-equivalent to the category of Stein algebras and $\mathbb{C}$-algebra morphisms. This removes a finite dimensionality hypothesis from a theorem of Forster.

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Olivier Benoist. 2024-10-07. Stein spaces and Stein algebras. https://arxiv.org/abs/2410.05521

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