History of tag 04S7
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changed the statement and the proof
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2011-08-12 |
dd4090b |
LaTeX: Remove useless brackets
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assigned tag 04S7
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2010-06-17 |
72666b2
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Added new tags
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created statement with label lemma-triple-2-fibre-product-pr02 in categories.tex
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2010-06-10 |
c70dda1 |
Every algebraic stack has a presentation
This is the easy direction, although there is plenty to improve
on here. We should split out some of the discussion in separate
lemmas. In particular, we should have a discussion on criteria
which garantee that a morphism of stacks in groupoids is an
equivalence. We should discuss more generally the construction
where given
U ---> X
with X an algebraic stack, U an algebraic space, on setting R =
U \times_X U we get a morphism of stacks in groupoids
[U/R] ---> X
for free. Then the lemma becomes much more readable and just
says that if U ---> X is smooth and surjective, then the
associated 1-morphism is an equivalence.
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