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Results tagged with line-bundles
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user 2083
A continuously varying family of one-dimensional vector spaces over a topological space. A related tag is the vector-bundles tag.
12
votes
Accepted
Line bundles vs. Cartier divisors on a non-integral scheme
An example is given in this note (it was credited to Kleiman).
- 30.6k
4
votes
1
answer
975
views
Torsion line bundles with non-vanishing cohomology on smooth ACM surfaces
I am looking for an example of a smooth surface $X$ with a fixed very ample $\mathcal O_X(1)$ such that $H^1(\mathcal O(k))=0$ for all $k$
(such thing is called an ACM surface, I think) and a globally …
- 30.6k