Bambozzi, Federico and Ben-Bassat, Oren and Kremnizer, Kobi (2018) Stein domains in Banach algebraic geometry. JOURNAL OF FUNCTIONAL ANALYSIS, 274 (7). pp. 1865-1927. ISSN 0022-1236, 1096-0783
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In this article we give a homological characterization of the topology of Stein spaces over any valued base field. In particular, when working over the field of complex numbers, we obtain a characterization of the usual Euclidean (transcendental) topology of complex analytic spaces. For non-Archimedean base fields the topology we characterize coincides with the topology of the Berkovich analytic space associated to a non-Archimedean Stein algebra. Because the characterization we used is borrowed from a definition in derived geometry, this work should be read as a derived perspective on analytic geometry. (C) 2018 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ANALYTIC SPACES; COHOMOLOGY; CATEGORIES; LIMITS; Stein space; Berkovich space; Bornological space; Nuclear space |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Mar 2020 09:47 |
| Last Modified: | 20 Mar 2020 09:47 |
| URI: | https://pred.uni-regensburg.de/id/eprint/14869 |
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