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Results tagged with line-bundles
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user 65
A continuously varying family of one-dimensional vector spaces over a topological space. A related tag is the vector-bundles tag.
10
votes
Accepted
What is the Theorem of the Cube?
If you have a line bundle trivial on 3 "surfaces" of a "cube" $A\times B\times C$ where $A$, $B$, $C$ are abelian varieties, then this line bundle in trivial on the whole "cube".
See wikipedia.
- 15.1k
3
votes
Maps to projective space determined by a line bundle
Bundles that have many sections don't have a special name, but their slightly more useful special case goes under the name of very ample bundles.
Start from the beginning. Line bundles can be defined …
- 15.1k
3
votes
Indexing the line bundles over a Grassmannian.
If your question is about complex line bundles up to an algebraic isomorphism, such bundles are classified by [the group of divisors](http://en.wikipedia.org/wiki/Divisor_(algebraic_geometry) for any …
- 15.1k
0
votes
Sections of a divisor on elliptic curve
I would try to play with rational functions of the form xn/Q1Q2, perhaps they will form a big part of a basis?
- 15.1k