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Sep 4, 2010 at 10:52 comment added Henri Yes, you could have a look at it here : www.math.jussieu.fr/~mourouga/note_abondant.pdf (its both in french and in english, don't worry!)
Sep 4, 2010 at 10:51 comment added Henri For example, as I mentionned it, a nef and big divisor $D$ is semiample if and only if its graded ring of sections $R(X,D)=\bigoplus_{m\in \mathbb N} H^0(X,mD)$ is finitely generated.
Sep 4, 2010 at 10:49 comment added Moon Anyway, thank you for answer. By the way, what is the result of Mourougane and Russo? Do you mean the theorem 2.3.9 in PAG?
Sep 4, 2010 at 10:46 comment added Moon You are right, nefness + bigness does not guarantee semi-ampleness. My question is following: Is there any sufficient condition to get semi-ampleness? With which conditions we get semi-ample property?
Sep 4, 2010 at 10:32 history undeleted Henri
Sep 4, 2010 at 10:32 history edited Henri CC BY-SA 2.5
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Sep 3, 2010 at 13:30 history deleted Henri
Sep 3, 2010 at 13:17 history answered Henri CC BY-SA 2.5