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arXiv · 1511.09045

Stein Domains in Banach Algebraic Geometry

Federico Bambozzi·Oren Ben-Bassat·Kobi Kremnizer
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Abstract

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 contribution towards the foundations of derived analytic geometry.

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BibTeXRIS

Federico Bambozzi, Oren Ben-Bassat, Kobi Kremnizer. 2015-11-29. Stein Domains in Banach Algebraic Geometry. https://doi.org/10.1016/j.jfa.2018.01.003

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