Subsection [04WS]
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(1.5) We fix an algebraically closed field of characteristic and we set and . We also fix an algebraic closure of . We denote by the -adic valuation on and we define an absolute value on by setting for every . This turns into a complete non-archimedean field. We denote by the analytification functor from the category of -schemes of finite type to Berkovich’s category of -analytic spaces. For every -scheme , we will denote by and its special and generic fiber.