On the density of ratios of Chern numbers of embedded threefolds

1996/11/22 by Mei-Chu Chang, Chang, Mei-Chu
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9611026

AMSTex, 7 pages

arxiv created 1996/11/22 · openalex publication_date 1996/11/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the limit points of (x,y) for all 3-folds in P⁵ with the Chern ratios x=c₁³/c₁c₂, y=c₃/c₁c₂ must lie on the line segment x+y=2, 1≤ x≤ 2. (Note that the determinantal ones already give x+y=2, 1≤ x≤ 17/12.)

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