History of tag 0A0D
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assigned tag 0A0D
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2014-03-04 |
00d2aaa
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Tags: Added new tags
Also fixed two small things found by scripts
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created statement with label remark-slightly-stronger in proetale.tex
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2014-02-24 |
654119f |
Add a remark on ind-Zariski versus ind-(Zariski localization)
Thanks to Kestutis Cesnavicius for the following discussion
Does it work for the result of what is now Proposition 6.6?
I think it does work: it seems to me that in the proof of Prop. 6.6 the
only part that needs checking that ind-Zariski can be taken in the
stronger (=ind-(disjoint union of principal open affines)) sense is
that Lemma 6.5 outputs such maps. The point in the proof of Lemma 6.5
that needs likewise checking is that Lemma 6.2 similarly outputs even
ind-(disjoint union of principal open affines), which it does by
inspection of its proof (and that of Lemma 6.1).
To ease the job of the reader in checking all this, perhaps it is worth
replacing ind-Zariski by the stronger ind-(disjoint union of principal
open affines) (or rather by some name for this type of morphism that is
less awkward/lengthy) in the statements?
Decided it was not worth the effort to actually go ahead and change all
the lemmas.
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