Numerical trivial fibrations
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2000
- DOI:
- 10.48550/arXiv.math/0001023
- arXiv:
- arXiv:math/0001023
- Bibcode:
- 2000math......1023T
- Keywords:
-
- Algebraic Geometry;
- 32J25