History of tag 04KT
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type |
time |
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changed the statement and 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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2014-06-29 |
c25496a |
Two fixes for varieties.tex
Thanks to Keenan Kidwell
http://stacks.math.columbia.edu/tag/0360#comment-766
http://stacks.math.columbia.edu/tag/04KT#comment-767
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changed the statement
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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 04KT
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2010-05-23 |
7a316a7
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Tags: added new tags
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created statement with label lemma-finite-extension-geometrically-reduced in varieties.tex
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2010-05-19 |
e6ac444 |
Varieties: Loos ends
There is much more work to be done here. For example this
commit adds the fact that if X is a variety over a field k then
there exists a finite purely inseparable extension k' of k such
that (X_{k'})_{red} is geometrically reduced -- and of course in
actuality the result is slightly more general.
There is a similar result regarding geometric irreducibility
which we should add as well, and we can also think about the
correct formulation of such a result for geometric connectivity.
Also, in the section on unit groups we have not yet stated the
consequence that if X is a variety over k and k is algebraically
closed in k(X) then O(X)^*/k^* is a finitely generated abelian
group. In particular, this gives the same result for
geometrically integral varieties.
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