History of tag 03GW
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changed the proof
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2022-05-25 |
ca77ab3 |
Update more-morphisms.tex
Thanks to Yijin Wang https://stacks.math.columbia.edu/tag/03GW#comment-7352
Typo in the proof of lemma 37.42.1: in the beginningï¼ (b) should be U=fâ^ï½-1ï½ï¼Uâï¼
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changed the proof
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2022-01-23 |
9cee969 |
Try to use L/K notation for field extensions
We could also try to consistenly use "field extension" and not just
"extension" and consistently use "ring extension", etc.
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changed the proof
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2013-08-03 |
dba86b5 |
pell check: words starting with n, o, p, q, r, N, O, P, Q, or R
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changed the proof
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2012-07-30 |
4106c3d |
Towards ZMT for spaces
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changed the proof
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2012-07-29 |
5b7d5de |
Bunch of changes, crystallizing some earlier results
This commit adds:
(1) Relative dimension of a flat morphism can be read off from
what happens over a dense open
(2) Characterizing open immersions as flat morphisms which induce
an isomorphism over a dense open
(3) Finite type, flat, and finitely presented over a dense open
implies finitely presented
(4) Proper modifications can be dominated by blowups
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changed the proof
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2012-02-12 |
e86da14 |
Typo
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changed the proof
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2010-10-09 |
2b090dd |
End conversion of etale to \'etale.
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changed the proof
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2010-09-07 |
2d3d657 |
Started to use ew terminology
"elementary etale neighbourhoods"
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assigned tag 03GW
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2009-10-18 |
a9d7807
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Tags: Added new tags
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created statement with label lemma-finite-type-separated in more-morphisms.tex
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2009-10-16 |
24e5661 |
More on Morphisms: Improved discussion on quasi-finite morphisms
Now we use the material on normalization (in Morphisms) which
was not available in the first pass on the structure of
quasi-finite separated morphisms. In particular, using the fact
that normalization commutes with etale base change improves the
exposition and clarifies the proof. Not only that, it also gives
a slightly more general result, namely, we do nnot even have to
assume the morphism is quasi-finite at all. Just finite type and
separated.
Future addition: It seems quite possible that given a proper f :
X --> S with S qc+qs then the normalization of S in X is just
the spectrum of f_*O_X and moreover the fibres of the map to
this normalization are connected. In other words, the connected
fibres thing holds without assuming the base is Noetherian. It
should be possible to prove this using the results on limits of
schemes.
modified: more-morphisms.tex
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