Numerical triviality and pullbacks
Algebraic Geometry
2012-01-16 v3
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.
Cite
@article{arxiv.1109.4382,
title = {Numerical triviality and pullbacks},
author = {Brian Lehmann},
journal= {arXiv preprint arXiv:1109.4382},
year = {2012}
}
Comments
13 pages, v2: substantial revision fixing errors and typos, v3: minor typos fixed