Mathematics – Number Theory
Scientific paper
2009-04-24
Mathematics
Number Theory
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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