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arXiv · 2507.11073

Formal models for relative adic spaces

Dimitri Dine
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Abstract

We extend Raynaud's theory of formal models from rigid-analytic spaces over a nonarchimedean field to uniform qcqs adic spaces $X$, with no finite-type assumptions, over an arbitrary Tate affinoid base $S$. The key new ingredient is the notion of a normalized formal blow-up which takes on the role played by admissible formal blow-ups in the classical theory.

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Dimitri Dine. 2025-07-15. Formal models for relative adic spaces. https://arxiv.org/abs/2507.11073

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