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I created etale scheme with material from Michel Demazure, lectures on p-divisible groups web. I will add links to it later.
The characterization in terms of constant schemes given there indicates that etale schemes fit in the general perspective of the relation of étale objects and locally constant sheaves.
Thanks, Stephan. Note that links like etale schemes don’t work until one creates the redirect in the page (which I’ve now done).
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