2007/02/05 by Gian Mario Besana, Besana, Gian Mario, Sandra Di Rocco +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG
paper · pdf · doi:10.48550/arxiv.math/0702099
23 pages. Refereed version, to appear in JPAA
arxiv created 2007/02/05 · openalex publication_date 2007/02/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Zero-schemes on smooth complex projective varieties, forcing all elements of ample and free linear systems to be reducible are studied. Relationships among the minimal length of such zero-schemes, the positivity of the line bundle associated with the linear system, and the dimension of the variety are established. A generalization to higher dimension subschemes is studied in the last section.