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 vector-bundles
Search options not deleted
user 450
A continuously varying family of vector spaces of the same dimension over a topological space. If the vector spaces are one-dimensional, the term line bundle is used and has the associated tag line-bundles.
17
votes
Accepted
Existence of non-split vector bundles on smooth projective varieties
Yes, it is true that (over an algebraically closed field) the only positive-dimensional smooth projective variety on which every algebraic vector bundle splits as a sum of line bundles is $\mathbb P^ …
- 47.5k
5
votes
Is analytic Quillen-Suslin simple?
Dear David, I think there might be a slightly simpler proof of the analytic Quillen-Suslin theorem.
Given a holomorphic vector bundle $E$ on $\mathbb C^n$, it has a holomorphic connection since its A …
- 47.5k
32
votes
Using linear algebra to classify vector bundles over ℙ¹
Dear Ila, the linear algebra result you mention is due to Dedekind-Weber and was published in Crelle's Journal dated 1882, in their article "Theorie der algebraischen Funktionen einer Veränderlichen …
- 47.5k
14
votes
Accepted
Recommended books/lecture notes for vector bundle on algebraic curve
The modern theory of vector bundles over a curve starts with Grothendieck's article Sur la classification des fibrés holomorphes sur la sphère de
Riemann. American Journal of Mathematics, 79, 121–138, …
- 47.5k
15
votes
Reference request: moduli spaces of vector bundles
Dear Mohammad, there is a rather elementary book Introduction to Moduli Problems and Orbit spaces by P.E. Newstead which will explain to you why stability is important, give you lots of examples (Ch …
- 47.5k