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10 votes
1 answer
887 views

Numerically equivalent effective divisors and semiampleness

Being semiample is not a numerical property (take for example torsion and a non-torsion divisor of degree 0 on a curve, or for more sophisticated examples just look at Lazarsfeld - Positivity in Algebraic …
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  • 205
8 votes
1 answer
942 views

volume of big line bundles under finite morphisms

(I know that if $B$ is not only big but also nef then the formula is true by Lazarsfeld's Positivity in Algebraic geometry I, remark 1.1.13, using the well-known fact that if $B$ is nef then vol($B$)=$ …
Oren's user avatar
  • 205