History of tag 03L1
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time |
link |
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changed the proof
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2014-06-02 |
69e750b |
More theory for elementary properties of algebraic spaces
Decent spaces are truely decent! Also some lemmas on fibres of morphisms
of algebraic spaces that were long overdue.
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changed the proof
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2011-08-10 |
65ce54f |
LaTeX: \Spec
Introduced the macro
\def\Spec{\mathop{\rm Spec}}
and changed all the occurences of \text{Spec} into \Spec.
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changed the statement and the proof
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2011-06-12 |
b88197a |
Finished cleanup decent-space.tex
Last edit to this chapter for now.
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changed the proof
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2011-06-11 |
5619b77 |
Cleanup in Decent Spaces
More streamlined. We also (finally) made it precise that a space
is decent if and only if every one of its points is given by a
quasi-compact monomorphism from the spectrum of a field. We can
probably use this fact to our advantage in a bunch of the proofs
of this chapter...
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moved the statement to file decent-spaces.tex
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2011-06-10 |
52c6ad3 |
Decent Algebraic Spaces
Created a new chapter "Decent Algebraic Spaces" and moved most
of the material on local conditions of algebraic spaces in
there. In the next few commits we will fix the breakage that this
causes.
The reason for the move is that this material is difficult to
understand for the beginner and that most of the other material
in Properties of Spaces and Morphisms of Spaces is easier and
more analogous to what happens for schemes.
An added advantage is that we can use results on morphisms of
algebraic spaces in the new chapter, hence it becomes easier to
develop the theory of decent spaces.
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changed the proof
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2011-06-10 |
52c6ad3 |
Decent Algebraic Spaces
Created a new chapter "Decent Algebraic Spaces" and moved most
of the material on local conditions of algebraic spaces in
there. In the next few commits we will fix the breakage that this
causes.
The reason for the move is that this material is difficult to
understand for the beginner and that most of the other material
in Properties of Spaces and Morphisms of Spaces is easier and
more analogous to what happens for schemes.
An added advantage is that we can use results on morphisms of
algebraic spaces in the new chapter, hence it becomes easier to
develop the theory of decent spaces.
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changed the proof
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2010-10-09 |
2b090dd |
End conversion of etale to \'etale.
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changed the proof
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2010-01-08 |
9d33b48 |
Morphisms of Spaces: Fix Lemma 03L1
This lemma says that morphisms of type beta, gamma, or delta are
preserved under compositions.
This finishes (hopefully) the series of fixes due to the mistake
fixed in commit 617b8ab5d804f770a0e58d5a4a4b9355ee8ea201
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assigned tag 03L1
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2009-11-11 |
518837d
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Morphisms of spaces: More on relative conditions
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created statement with label lemma-composition-relative-conditions in spaces-morphisms.tex
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2009-11-11 |
22fbdba |
Morphisms of Spaces: Relative conditions
Trying to understand the relative versions of the local
conditions found in Properties of Spaces
Todo:
Fix currently unfinished discussion of the above
Add lemma about algebraic spaces etale over fields
When does an algebraic space satisfy the sheaf
condition for fpqc-coverings? This is missing in
the discussion of algebraic space in the
introductory chapter on algebraic spaces, but it
doesn't have a high priority.
Add remark discussing informally the relative conditions
and what to do with them.
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