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moved the statement to file obsolete.tex 2016-11-06 7b82497
Application to the stack of coherent sheaves

Terrific! This is just how doing things more generally should work.
assigned tag 09DN 2013-08-06 9a0eed8
Tags: Added new tags
changed the statement 2013-08-06 3930c57
Final commit on stack of coherent sheaves on algebraic spaces

OK, the situation is now as follows:
(0) Philosofically speaking the result holds because you can prove it
using methods from derived algebraic geometry.
(1) It is clear that the method as presented works.
(2) Quite a few details are omitted, mostly of a nature of checking
that certain diagrams commute -- some of these checks have been done in
the literature (eg Illusie) and others are variants of these.

However, at this point it seems preferable to continue on with
applications to Quot spaces for example rather than continuing to
add innumerable details.
created statement with label remark-construction-E in quot.tex 2013-08-05 8f3a1f9
Defining the obstruction class for modules in non-flat case