Seminar
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Location: | MSRI: Baker Board Room |
Let k be a complete discrete valuation field and f : X -> Y an analytic morphism between k-affinoid spaces (X and Y might be closed polydisc for instance). We prove that the complementary set of the image of f has finitely many connected components with respect to the Berkovich topology.
We will explain this result, which relies essentially on a quantifier elimination theorem for fields with analytic structures due to Leonard Lipshitz.
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