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- W1570328981 abstract "In this article, we apply the approach of relative algebraic geometry towards analytic geometry to the category of bornological and Ind-Banach spaces (non-Archimedean or not). 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 generators of their standard topology (the morphisms appearing in the covers). We end with a sketch of an emerging theory of dagger affinoid spaces over the integers, or any Banach ring, where we can see the Archimedean and non-Archimedean worlds coming together." @default.
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- W1570328981 date "2016-05-01" @default.
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- W1570328981 title "Dagger geometry as Banach algebraic geometry" @default.
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- W1570328981 doi "https://doi.org/10.1016/j.jnt.2015.10.023" @default.
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