Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with descent
Search options not deleted
user 11640
1
vote
Accepted
Pullback as a local property
Yes, this is a question of descent. More precisely you are asking whether the base change functor $F : \mathbf{Mfd}_{/ C} \to \prod_i \mathbf{Mfd}_{/ U_i}$ reflects pullbacks. … In short, $F$ is conservative because jointly surjective families of open embeddings satisfy the descent condition in $\mathbf{Mfd}$.
By the way, I would not call $\mathbf{Mfd}$ a nice category. …
- 15.9k
10
votes
What is descent data (of higher categories), conceptually?
The category of descent data is indeed the homotopy limit of your cosimplicial diagram. … So, morally, the category of descent data generalises the set of matching elements of a presheaf with respect to a cover. …
- 15.9k
4
votes
0
answers
157
views
What is the equivalent of Artin gluing for quasicoherent sheaves?
Then, by flat descent, or just computing by hand, we have the following bipullback square:
$$\require{AMScd}
\begin{CD}
\textbf{Mod} (\mathbb{Z}) @>>> \textbf{Mod} (\mathbb{Z} [p^{-1}]) \\
@VVV \cong @ …
- 15.9k