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changed the statement and the proof 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.
changed the proof 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
changed the statement 2011-08-10 65ce54f
LaTeX: \Spec

	Introduced the macro

	\def\Spec{\mathop{\rm Spec}}

	and changed all the occurences of \text{Spec} into \Spec.
assigned tag 04KT 2010-05-23 7a316a7
Tags: added new tags
created statement with label lemma-finite-extension-geometrically-reduced in varieties.tex 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.