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diverietti
diverietti
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I wantlook for a reference of the following implication Let $ X $ be a compact complex manifold, If : 1) $ \chi (O_X) \neq0 $
2) the Universal covering does not contain compact subvariety
So $ K_X $ is big . We know that $ K_X $ is big $\implies$ $ K_X $ is nef, when can we have the equivalent?

I want a reference of the following implication Let $ X $ be a compact complex manifold, If : 1) $ \chi (O_X) \neq0 $
2) the Universal covering does not contain compact subvariety
So $ K_X $ is big . We know that $ K_X $ is big $\implies$ $ K_X $ is nef, when can we have the equivalent?

I look for a reference of the following implication Let $ X $ be a compact complex manifold, If : 1) $ \chi (O_X) \neq0 $
2) the Universal covering does not contain compact subvariety
So $ K_X $ is big . We know that $ K_X $ is big $\implies$ $ K_X $ is nef, when can we have the equivalent?

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Samir
Samir
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A big line bundle in complex compact manifold

I want a reference of the following implication Let $ X $ be a compact complex manifold, If : 1) $ \chi (O_X) \neq0 $
2) the Universal covering does not contain compact subvariety
So $ K_X $ is big . We know that $ K_X $ is big $\implies$ $ K_X $ is nef, when can we have the equivalent?