Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896722 | Journal of Functional Analysis | 2018 | 63 Pages |
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 derived perspective on analytic geometry.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Federico Bambozzi, Oren Ben-Bassat, Kobi Kremnizer,