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Higher Order Bad Loci

Gian Mario Besana·Sandra Di Rocco·Antonio Lanteri
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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. A generalization to higher dimension subschemes is studied in the last section.

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Gian Mario Besana, Sandra Di Rocco, Antonio Lanteri. 2007-02-05. Higher Order Bad Loci. https://arxiv.org/abs/math/0702099

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