Stein spaces and Stein algebras

Fuente: arXiv
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Main Author: Benoist, Olivier
Format: Preprint
Published: 2024
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author Benoist, Olivier
author_facet Benoist, Olivier
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_05521
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stein spaces and Stein algebras
Benoist, Olivier
Complex Variables
32E10, 32Q56
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.
title Stein spaces and Stein algebras
topic Complex Variables
32E10, 32Q56
url https://arxiv.org/abs/2410.05521