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History of tag 03H0

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changed the proof 2020-12-09 90cebd2
Improve discussion connectedness in Stein factorization

Of course it doens't change much but it is a bit better this way
changed the proof 2015-03-12 da6468e
amalg and coprod
changed the proof 2014-04-21 1d46c85
Upgrade to results from lemmas to propositions

Namely, Grothendieck's result on vanishing of cohomology on Noetherian
topological space and Grothendieck's result on proper pushforward of
coherent sheaves
changed the statement 2012-11-07 4bae8d3
Change definition of connected: require nonempty

Thanks to Burt Totaro
changed the statement 2012-07-09 98371d8
Small changes
changed the proof 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.
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.
changed the proof 2011-08-10 d437c1e
First macro of the project

	This gets rid of all the \nolimits commands following \lim by
	defining

	\def\lim{\mathop{\rm lim}\nolimits}

	in the file preamble.tex. As far as I can tell this is
	equivalent to \lim\nolimits where \lim is the internal command
	of TeX. The dvi files produced before and after this commit are
	identical.
changed the proof 2011-08-10 23038ed
LaTeX: fix lim

	Replaced all the occurences of \text{lim} by \lim or
	\lim\nolimits depending on whether the invocation occured in
	display math or not.
changed the proof 2010-10-09 2b090dd
End conversion of etale to \'etale.
assigned tag 03H0 2009-10-18 a9d7807
Tags: Added new tags
changed the label to theorem-stein-factorization-Noetherian 2009-10-18 a37c06e
More on Morphisms: Improved readability of proof Stein factorization

	Only in the general case. Also changed designation into theorem
	from lemma.
changed the statement 2009-10-18 a37c06e
More on Morphisms: Improved readability of proof Stein factorization

	Only in the general case. Also changed designation into theorem
	from lemma.
changed the statement and the proof 2009-10-18 ce81e93
More on Morphisms: Stein factorization for general proer maps

	This is a little rough at the moment and needs to be cleaned up.
	The basic idea is that ytou first prove the result for closed
	subschemes of projective space over a ring and then reduce the
	general case to that by a simple application of Chow's lemma.
created statement with label lemma-stein-factorization-Noetherian in more-morphisms.tex 2009-10-17 ecc0237
More on Morphisms: Stein factorization Noetherian case

	The proof of existence and properties of the Stein factorization
	in the Noetherian case is straightforward because we already
	have the theorem on formal functions and preliminary results on
	normalization, etale neighbourhoods, cohomology and base change
	and so on