History of tag 04KS
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changed the proof
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2012-02-21 |
0495bca |
Move result from varieties into the algebra chapter
Suggestion by Matthieu Romagny
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assigned tag 04KS
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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-generic-points-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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