Higher Order Bad Loci

Details Higher Order Bad Loci Higher Order Bad Loci

2007-02-05

arxiv.org/abs/math/0702099v1

Mathematics

Algebraic Geometry

23 pages. Refereed version, to appear in JPAA

Scientific paper

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.

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