Numerical trivial fibrations
代数几何
2007-05-23 v6
摘要
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.
引用
@article{arxiv.math/0001023,
title = {Numerical trivial fibrations},
author = {Hajime Tsuji},
journal= {arXiv preprint arXiv:math/0001023},
year = {2007}
}