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Dagger geometry as Banach algebraic geometry

Bambozzi, Federico ; Ben-Bassat, Oren



Abstract

In this article, we look at analytic geometry from the perspective of relative algebraic geometry with respect to the categories of bornological and Ind-Banach spaces over valued fields (both Archimedean and non-Archimedean). We are able to recast the theory of Grosse-Klonne dagger affinoid domains with their weak G-topology in this new language. We prove an abstract recognition principle for the ...

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