2002/02/26 by Thomas Eckl, Eckl, Thomas
Engineering · Mathematics · #32J25 #Algebraic Geometry (math.AG) #Control and Dynamics of Mobile Robots #FOS: Mathematics #math.AG #msc:32J25
paper · pdf · doi:10.48550/arxiv.math/0202279
19 pages
openalex publication_date 2002/02/26 · arxiv created 2002/12/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Reduction Map Theorem in H. Tsuji's work on numerical trivial fibrations is corrected and proven. To this purpose various definitions of Tsuji's new intersection numbers for pseudo-effective line bundles equipped with a positive singular hermitian metric are compared and their equivalence on sufficiently general smooth curves is shown. Numerically trivial varieties are characterized by a decomposition property of the curvature current. An important adjustment to the Reduction Map Theorem is to consider the fact that plurisubharmonic functions are singular on pluripolar sets.