History of tag 05XQ
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type |
time |
link |
changed the proof
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2022-01-23 |
9cee969 |
Try to use L/K notation for field extensions
We could also try to consistenly use "field extension" and not just
"extension" and consistently use "ring extension", etc.
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changed the proof
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2011-06-17 |
1692461 |
Neurotic changes
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changed the proof
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2011-03-07 |
9b63d1b |
Two algebraicity results
(1) The finite locally free morphisms of degree d form an
algebraic stack called the finite Hilbert stack of the point,
and
(2) Res_{Z/B}(X) is an algebraic space whenever Z ---> B is
finite locally free and X ---> Z is an algebraic space. This is
actually a really trivial consequence of the fact that
Mor_B(Z, X)
is an algebraic space (see previous commit).
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changed the statement and the proof
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2011-03-07 |
f5208b9 |
Hom-sheaf
Our first result is that Mor_B(Z, X) is an algebraic space if Z
is finite locally free over the base B.
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assigned tag 05XQ
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2011-03-05 |
4d3d15e
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Added two new chapters
Of course these are virtually empty at this point. The idea of
the chapter "criteria" is to put there the stuff which allows
you to prove that a given stack in groupoids is an algebraic
stack. The idea of the chapter "quot" is to put there existence
results for Quot and Hilbert schemes/spaces.
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created statement with label lemma-surjection-space-of-sections in criteria.tex
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2011-03-05 |
ac2750e |
Towards existence of finite Hilbert stacks
Basically this lemma allows us to do \'etale localization in
order to prove existence in ``good'' cases.
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