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Resumen de Higher order bad loci

Gian Mario Besana, Sandra Di Rocco, Antonio Lanteri

  • 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.


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