Theorems A and B for dagger quasi-Stein spaces

Bambozzi, Federico (2019) Theorems A and B for dagger quasi-Stein spaces. QUARTERLY JOURNAL OF MATHEMATICS, 70 (2). pp. 703-735. ISSN 0033-5606, 1464-3847

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Abstract

In this article, we use the homological methods of the theory of quasi-abelian categories and results from functional analysis to prove Theorems A and B for (a broad sub-class of) dagger quasi-Stein spaces. In particular, we show how to deduce these theorems from the vanishing, under certain hypothesis, of the higher derived functors of the projective limit functor. Our strategy of the proof generalizes and puts in a more formal framework Kiehl's proof for rigid quasi-Stein spaces.

Item Type: Article
Uncontrolled Keywords: OVERCONVERGENT;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 07 Apr 2020 06:33
Last Modified: 07 Apr 2020 06:33
URI: https://pred.uni-regensburg.de/id/eprint/26869

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