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arXiv · 1109.4382

Numerical triviality and pullbacks

Brian Lehmann
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Abstract

Let f: X \to Z be a surjective morphism of smooth complex projective varieties with connected fibers. Suppose that L is a pseudo-effective divisor on X that is f-numerically trivial. We show that there is a divisor D on Z such that L is numerically equivalent to f^*D.

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Brian Lehmann. 2012-01-12. Numerical triviality and pullbacks. https://arxiv.org/abs/1109.4382

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