Higher order bad loci

[摘要] 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. (C) 2007 Elsevier B.V. All rights reserved.

[发布日期] 2007-11-01