1994/11/08 by T. Fujita, Takao Fujita, Fujita, Takao · 1 citation
Chemistry · Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Applied mathematics #Argument (complex analysis) #Calculus (dental) #Canonical bundle #Chemistry #Discrete mathematics #FOS: Mathematics #Geometry and complex manifolds #Linear system #Mathematical analysis #Mathematics #Pure mathematics #Separation (statistics) #Statistics #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9411001
5 pages, amstex
arxiv created 1994/11/08 · openalex publication_date 1994/11/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Main Result: Let (M,L) be a smooth complex polarized threefold. Then the linear system | K+tL| separates any two different points on M for any t≥ 6, where K is the canonical bundle of M. The argument in the proof is a variant of Ein-Lazarsfeld method. Although it is less powerful, it is cheaper, i.e., needs fewer pages. Unfortunately, at present, I cannot show the very ampleness because of technical difficulties. Some related topics are also discussed. A hard copy is available on request to the author.