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History of tag 057J

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type time link
changed the statement and the proof 2018-09-18 bac19bd
How to get coverings with geom conn fibres
changed the statement and the proof 2010-10-09 2b090dd
End conversion of etale to \'etale.
assigned tag 057J 2010-09-18 d52025b
Tags: Added new tags
changed the proof 2010-09-10 098060d
Typos
changed the label to lemma-normal-morphism-irreducible 2010-09-09 711fda7
Normal morphism + irreducible fibre

	Suppose you have a normal morphism X ---> S whose fibre over s
	in S is geometrically irreducible, Then, after replacing S by an
	elementary etale neighbouyrhood of s, and X by an open
	neighbourhood of the fibre X_s, all the fibres of X --> S are
	geometrically integral. This lemma I found hard to prove, but in
	the end it looks rather mechanical.
changed the statement and the proof 2010-09-09 711fda7
Normal morphism + irreducible fibre

	Suppose you have a normal morphism X ---> S whose fibre over s
	in S is geometrically irreducible, Then, after replacing S by an
	elementary etale neighbouyrhood of s, and X by an open
	neighbourhood of the fibre X_s, all the fibres of X --> S are
	geometrically integral. This lemma I found hard to prove, but in
	the end it looks rather mechanical.
changed the statement 2010-09-07 2d3d657
Started to use ew terminology

	"elementary etale neighbourhoods"
changed the statement and the proof 2010-09-07 2f4075b
Added the notion of an elementary etale neighbourhood

	As in Raynaud-Gruson. Still need to update the etale
	localization results with this terminology.
assigned tag 057J 2010-09-04 402ce88
Added new tags
created statement with label lemma-smooth-geometrically-irreducible in more-morphisms.tex 2010-09-03 ba42dc8
Small changes

	After etale base change and Zariski localizing upstairs make
	smooth morphism have geometrically irreducible fibres... proof
	is not yet complete.