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The Stacks project

History of tag 0BNK

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type time link
changed the statement and the proof 2024-04-11 4747b96
Generalize a lemma

Thanks to Rankeya
https://stacks.math.columbia.edu/tag/0BNK#comment-8329
changed the statement and the proof 2018-12-16 7514732
A mild modification to Beauville-Laslo

Thanks to Kestutis Cesnavicus who writes:
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I attach a minor edit to the section https://stacks.math.columbia.edu/tag/0BNI
on the Beauville--Laszlo theorem --- could you include it in the
Stacks Project? The goal is to generalize the section to more general maps
R ---> R', not just those that arise from the f-adic completion. This makes
this material better suited for an eventual nonaffine statement.

I tried to be careful, hopefully I did not introduce any errors. The same
proofs worked in the more general situation with only cosmetic changes
(I went through the arguments in detail).
assigned tag 0BNK 2015-08-07 5c84f2c
Tags: Added new tags
changed the label to lemma-torsion-completion 2015-08-07 d7c5ae1
Edits to material on Beauville-Laszlo
changed the statement and the proof 2015-08-07 d7c5ae1
Edits to material on Beauville-Laszlo
created statement with label L:torsion completion in more-algebra.tex 2015-08-05 15368e9
Beauville-Laszlo

Thanks to Kiran Kedlaya who writes:

"Here's the thing I typed up generalizing the Beauville-Laszlo theorem,
optimally weakening the conditions on the base ring, the element with
respect to which the ring is completed, and the module over that ring.
If you want this for the stacks project, it's yours; I have no other use
for it..."