Higher order bad loci

• Autores: Gian Mario Besana, Sandra Di Rocco, Antonio Lanteri
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 211, Nº 2, 2007, págs. 414-427
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2007.01.015
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• Resumen

  • 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.