2000/01/05 by Hajime Tsuji, Tsuji, Hajime
Computer Science · Mathematics · #32J25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic and Geometric Analysis #FOS: Mathematics #Matrix Theory and Algorithms #math.AG #msc:32J25
paper · pdf · doi:10.48550/arxiv.math/0001023
openalex publication_date 2000/01/05 · arxiv created 2000/10/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.