Stably Uniform Affinoids Are Sheafy
نویسنده
چکیده
We develop some of the foundations of affinoid pre-adic spaces without Noetherian or finiteness hypotheses. We give explicit examples of non-adic affinoid pre-adic spaces, and also a new condition ensuring that the structure presheaf on Spa(R,R) is a sheaf. This condition can be used to give a new proof that the spectrum of a perfectoid algebra is an adic space.
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