Weil restriction of p-adic analytic spaces

Mathematics – Number Theory

Scientific paper

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Scientific paper

We study the functor of Weil restriction in the category of Huber's adic
spaces and in the category of Berkovich spaces. We prove criteria for the
representability of these functors in the respective categories. As an
application of adic Weil restrictions, we prove that adic N\'eron models behave
well with respect to tamely ramified base change.

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