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Numerical trivial fibrations

Hajime Tsuji
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Abstract

We develop an intersection theory for a singular hemitian line bundle with positive curvature current on a smooth projective variety and irreducible curves on the variety. And we prove the existence of a natural rational fibration structure associated with the singular hermitian line bundle. Also for any pseudoeffective line bundle on a smooth projective variety, we prove the existence of a rational natural fibration structure associated with the line bundle. We also characterize a numerically trivial singular hermitain line bundle on a smooth projective variety.

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Hajime Tsuji. 2000-10-24. Numerical trivial fibrations. https://arxiv.org/abs/math/0001023

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