Loading [MathJax]/extensions/tex2jax.js

The Stacks project

History of tag 08IF

Go back to the tag's page.

type time link
changed the statement and the proof 2017-04-11 04fef69
New macro: \Ext
changed the proof 2017-04-02 283ede5
Better Ext + f^*F for spaces
changed the statement and the proof 2017-04-01 1428e09
Better Ext + f^*F

Could have been said ages ago...
changed the statement 2016-11-12 6fc5d29
Largish set of changes: "proper over"

This is just a neurotic set of changes, making sure it makes sense to
say that a closed subset of X is proper over the base S in case X --> S
is a morphism which is locally of finite type...

Use this in the chapter on derived categories of schemes

Next up: Make similar changes for the case of algebraic spaces...
assigned tag 08IF 2013-01-28 0a1fd45
Tags: Added new tags

Also fixed some references
changed the proof 2013-01-26 5348388
Clean up the material from last commit

The claims on duals of pseudo-coherent complexes were too optimistic. As
a replacement we directly construct a base change map for pushforwards
of internal homs. Then we show this is a qis by the induction principle.

We also fixed the proof of the lemma on duals of perfect objects as the
previous one was nonsense.

Finally, we improve the (trivial) lemma on vanishing of Ext groups
between objects of the derived category.
created statement with label lemma-compute-ext in perfect.tex 2013-01-24 32fe68c
Computing Ext's groups by a perfect complex on the base

This following a discussion on the blog at
http://math.columbia.edu/~dejong/wordpress/?p=2896

Thanks to Jack Hall for pointing out that the necessary approximation
results were already available in the paper by Lipman and Neeman.