History of tag 05YV
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changed the proof
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2012-05-21 |
f258fb9 |
move a chapter and rename a chapter
We moved the chapter "Cohomology of Algebraic Spaces" earlier so
we can use the results earlier in the treatment of algebraic
spaces. Also, we finally renamed the chapter "Coherent
Cohomology" to "Cohomology of Schemes" which is better.
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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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assigned tag 05YV
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2011-04-01 |
755497d
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Tags: Added new tags
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created statement with label lemma-first-order-thickening in more-morphisms.tex
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2011-03-29 |
ee75333 |
Bunch of changes
(1) Starting to write about thickenings of algebraic spaces
(2) Change Omega^1_{X/S} to Omega_{X/S}
(3) Introduced universal homeomorphisms for algebraic spaces
(4) If X ---> Y is a surjective, integral morphism of schemes
and X is an affine scheme, then Y is an affine scheme
(4) Topological invariance of the site X_{spaces, etale} of an
algebraic space X (proof unfinished}
In order to see that also X_{etale} is a topological invariant
we (I think) need to prove the following result: If X --> Y is a
integral, universally injective, surjective morphism of
algebraic spaces then X is a scheme if and only if Y is a
scheme. There are two proofs of this result in the literature
(one by David Rydh and one by Brian Conrad); both reduce the
result to the Noetherian case by limit arguments. I would
prefer a more direct argument...
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