History of tag 02LR
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changed the statement and the proof
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2020-06-19 |
e46229c |
Slogan and remove exclamation points
Thanks to slogan_bot
https://stacks.math.columbia.edu/tag/02LR#comment-5119
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changed the proof
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2013-08-03 |
6cc7a5d |
ell check: words starting with s, t, S, or T
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changed the statement and the proof
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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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changed the proof
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2009-08-20 |
760ca2e |
Renamed fpqc-descent.tex descent.tex
modified: Makefile
modified: algebraic.tex
modified: browse.html
modified: chapters.tex
renamed: fpqc-descent.tex -> descent.tex
modified: groupoids.tex
modified: more-morphisms.tex
modified: morphisms.tex
modified: preamble.tex
modified: scripts/functions.py
modified: spaces.tex
modified: stacks.tex
modified: tags/Makefile
modified: tags/tags
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assigned tag 02LR
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2009-06-15 |
76f13f6
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Added new tags to the file tags/tags
modified: tags/tags
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changed the proof
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2009-06-15 |
79d88f7 |
Added: radicial + etale => open immersion
Added proof of: quasi-finite + separated => quasi-affine
modified: fpqc-descent.tex
modified: more-morphisms.tex
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changed the proof
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2009-06-12 |
b45c19f |
Confused! More later
modified: more-morphisms.tex
modified: morphisms.tex
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created statement with label lemma-quasi-finite-separated-quasi-affine in more-morphisms.tex
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2009-06-11 |
91dafa5 |
Cohomolgoy and base change improved
Changed corresponding tags in tags/tags
Added more variants of etale localizing quasi-finite maps
Started section on structure of quasi-finite maps
Improved section on proper morphisms
Improved section on integra; and finite morphisms
Characterizing integral morphisms as universally closed and affine
Comment added to section on proper maps in topology
modified: coherent.tex
modified: more-morphisms.tex
modified: morphisms.tex
modified: schemes.tex
modified: tags/tags
modified: topology.tex
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