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Results tagged with line-bundles
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user 3377
A continuously varying family of one-dimensional vector spaces over a topological space. A related tag is the vector-bundles tag.
5
votes
What are meromorphic line bundles?
You can define "meromorphic vector bundle" as locally free sheaf of modules
over a sheaf of meromorphic functions. This is a highly non-trivial object, because (in contrast with rational functions) me …
- 9,237
5
votes
Non-compact Kähler manifolds which admit a positive line bundle
Take a K3, or a general $n$-dimensional complex torus $M$, $n>1$, without any integer (1,1)-classes, and remove a point $x$. You will obtain a non-compact Kahler manifold without any non-trivial line …
- 9,237