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For questions related to divisors in the sense of algebraic geometry (Cartier divisors, Weil divisors and so on). For question on divisors in the number theoretic sense please use the tag divisors-multiples.

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 …
dorebell's user avatar
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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( …
dorebell's user avatar
  • 3,058