Zero-schemes of smmoth 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 lienar system, and the dimension of the variety are established. Bad linear spaces are also investigated.
Higher order bad loci / G.M. Besana, S. Di Rocco, A. Lanteri. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 211:2(2007 Nov), pp. 414-427.
Higher order bad loci
A. LanteriUltimo
2007
Abstract
Zero-schemes of smmoth 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 lienar system, and the dimension of the variety are established. Bad linear spaces are also investigated.
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