History of tag 06CH
Go back to the tag's page.
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changed the proof
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2012-05-17 |
d5b5e45 |
Moved a section
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changed the statement
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2011-08-13 |
4ea0b65 |
Whitespace changes
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changed the statement and the proof
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2011-08-11 |
f496b59 |
LaTeX: \Sch
Introduced a new macro
\def\Sch{\textit{Sch}}
and replaced all the occurences of \textit{Sch} with \Sch.
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changed the proof
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2011-08-10 |
23038ed |
LaTeX: fix lim
Replaced all the occurences of \text{lim} by \lim or
\lim\nolimits depending on whether the invocation occured in
display math or not.
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changed the statement and the proof
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2011-05-17 |
dd9236b |
Bootstrapping stacks
We finally proved the analogue for algebraic stacks of the final
bootstrap theorem for algebraic spaces proved in commit d70ec1d.
The theorem states that if X ---> Y is a morphism from an
algebraic space to a stack in groupoids, and if this morphism is
representable by algebraic spaces, surjective, flat, and locally
of finite presentation, then Y is an algebraic stack.
An application (to be added still) is that if G/S is a flat and
locally finitely presented group scheme, then [X/G] is an
algebraic stack over S. Etc, etc, etc.
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assigned tag 06CH
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2011-05-15 |
f98f9db
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Tags: Added new tags
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created statement with label lemma-limit-preserving in criteria.tex
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2011-05-13 |
d0755fc |
Limits and Hilbert stacks
If F : X ---> Y is a 1-morphism of stacks in groupoids and F is
representable by algebraic spaces and locally of finite
presentation, then F is relatively limit preserving on (iso
classes of) OBJECTS. There is no condition on the diagonal of Y!
The same thing then is true also for the 1-morphisms H_d(X/Y)
---> Y which is what the lemma actually says.
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