Numerical triviality and pullbacks

Details Numerical triviality and pullbacks Numerical triviality and pullbacks

2011-09-20

arxiv.org/abs/1109.4382v3

Mathematics

Algebraic Geometry

13 pages, v2: substantial revision fixing errors and typos, v3: minor typos fixed

Scientific paper

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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