History of tag 03BN
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time |
link |
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changed the proof
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2010-12-14 |
2018418 |
Small edit in bootstrap.tex
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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 and the proof
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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 03BN
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2009-09-24 |
8e43b57
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Tags: added new tags to the project
modified: tags/tags
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created statement with label lemma-morphism-spaces-is-representable-by-spaces in spaces.tex
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2009-09-22 |
9ac213f |
Collection of small changes
Small addition in algebra.tex
Invariant opens, representable quotients in groupoids
Finite monomorphism of schemes is closed immersion
Separation axioms added to spaces-properties
Morphism between algebraic spaces is representable by algebraic
spaces
modified: algebra.tex
modified: groupoids.tex
modified: morphisms.tex
modified: spaces-properties.tex
modified: spaces.tex
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