History of tag 03Y0
Go back to the tag's page.
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changed the statement
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2014-08-10 |
86f2c98 |
Slogan by Kestutis Cesnavicius
http://stacks.math.columbia.edu/tag/03Y0#comment-894
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changed the statement
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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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moved the statement to file bootstrap.tex
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2010-01-25 |
79c5606 |
Bootstrap: Added new chapter
It seems better to discuss the bootstrap theorems in a separate
chapter following the discussion of the basic material on
algebraic spaces. This can then be used in the chapter on
algebraic stacks when discussing presentations and what not.
The goal is to prove the theorem that an fppf sheaf F for which
there exists a scheme X and a morphism f : X --> F such that
f is representable by algebraic spaces
f is flat, surjective and locally of finite presentation
is automatically an algebraic space. We have almost all the
ingredients ready except for a slicing lemma -- namely somehow
lemma 3.3 part (1) of Keel-Mori.
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changed the statement
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2010-01-25 |
79c5606 |
Bootstrap: Added new chapter
It seems better to discuss the bootstrap theorems in a separate
chapter following the discussion of the basic material on
algebraic spaces. This can then be used in the chapter on
algebraic stacks when discussing presentations and what not.
The goal is to prove the theorem that an fppf sheaf F for which
there exists a scheme X and a morphism f : X --> F such that
f is representable by algebraic spaces
f is flat, surjective and locally of finite presentation
is automatically an algebraic space. We have almost all the
ingredients ready except for a slicing lemma -- namely somehow
lemma 3.3 part (1) of Keel-Mori.
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assigned tag 03Y0
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2010-01-03 |
92b033f
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Tags: added new tags
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created statement with label lemma-base-change-transformation in spaces-morphisms.tex
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2009-12-23 |
2f54d62 |
Morphisms of Spaces: Bootstrap, second version
OK, so now the proof is complete. Of course the chapter on
morphisms on algebraic spaces has a curious selection of topics
at the moment, since we've tried to work towards the bootstrap
theorem, and have not developped in a straightforward way. For
example, we have at this point defined what an etale morphism of
algebraic spaces is, but not what a morphism of finite
presentation is!
This will be fixed over time.
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