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15 votes
1 answer
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Is there an example of a scheme X whose reduction X_red is affine but X is not affine?

For Noetherian schemes this follows from Serre's criterion for affineness by a filtration argument.
9 votes
1 answer
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Stack with affine stabilizers but not quasi-affine diagonal

Give an example of a stack X with affine stabilizer groups and separated but not quasi-affine diagonal. Remarks: 1) If X has finite stabilizer groups then the diagonal is quasi-finite and separated, ...
6 votes
1 answer
356 views

Points of a weakly locally separated algebraic space

If X is a quasi-separated algebraic space and Spec k -> X is an etale presentation, then X is isomorphic to Spec k' for a field k'. (This is also true if X is Zariski locally quasi-separated.) The ...
0 votes
0 answers
2k views

Ignore this question [closed]

This question is a hacky way to create some tags for you to use. Move along.

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