History of tag 07V1
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assigned tag 07V1
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2012-06-05 |
113c346
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Tags: Added new tags
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created statement with label lemma-vanishing-separate-closed in spaces-cohomology.tex
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2012-06-05 |
76e5be9 |
Characterizing affine algebraic spaces by vanishing of cohomology
If X is a qc + qs algebraic space and H^1 of any quasi-coherent
module on X is zero then X is an affine scheme. The hard part of
the proof is to show that X is separated, since then it follows
in a rather straightforward way that X is quasi-finite over
Spec(O(X)) and we can use an earlier result (namely that a qf +
sep morphism is representable).
Let me know if there is a much easier way of doing this. Even in
the Noetherian case it doesn't seem easy to me.
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