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.