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Results tagged with line-bundles
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user 56878
A continuously varying family of one-dimensional vector spaces over a topological space. A related tag is the vector-bundles tag.
1
vote
The kernel of a nef line bundle
I think this is a counterexample. Let $V = \mathbf P^2 \times \mathbf P^1$, $L= \mathscr{O}_{P^2} \boxtimes \mathscr{O}_{P^1}(1)$. Let $\ell_1, \ell_2$ be two distinct lines in $\mathbf{P}^2$ and let …
- 3,058
2
votes
Rational maps and Kodaira dimension
This is a point I've been confused about proving several times recently, so I'm going to write out the argument in (potentially excessive) detail.
As abx points out, $\phi^*$ gives an injection $H^0( …
- 3,058