Article ID Journal Published Year Pages File Type
4598239 Journal of Pure and Applied Algebra 2007 14 Pages PDF
Abstract

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. Bad linear spaces are also investigated.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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