Loading [MathJax]/extensions/tex2jax.js

The Stacks project

History of tag 05ED

Go back to the tag's page.

type time link
changed the proof 2018-01-29 61dce31
Fix a couple of double word mistakes
changed the proof 2013-05-23 81b0cf1
Formal glueing of derived complete modules

Derived complete things seem to be exactly the things that make this
argument work. Cool!
assigned tag 05ED 2010-10-23 ae2a311
Tags: Added new tags
created statement with label lemma-naive-Koszul-complex in more-algebra.tex 2010-10-23 a6dfe84
Formal glueing

	Bhargav Bhatt submitted a write up on formal glueing that I
	edited to make it fit better with the stacks project. The
	statement implies for example the following: Suppose that C is a
	smooth curve over a field k and p a closed point of C. Then
	vector bundles over C are the same thing as triples (E, E', phi)
	where E is a vector bundle on C - {p}, E' is a vector bundle on
	the formal completion of C at p, and phi is an isomorphism
	between E and E' over the punctured formal completion of C at
	p. This is sometimes a good way to think about vector bundles
	(e.g. because the vectorbundle E is trivial if it has trivial
	determinant).

	Adding this caused me to start a new chapter on algebra called
	"More on Algebra". If you have a less prosaic title, then drop
	me an email.