Higher Order Bad Loci
Algebraic Geometry
2007-05-23 v1
Abstract
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. A generalization to higher dimension subschemes is studied in the last section.
Cite
@article{arxiv.math/0702099,
title = {Higher Order Bad Loci},
author = {Gian Mario Besana and Sandra Di Rocco and Antonio Lanteri},
journal= {arXiv preprint arXiv:math/0702099},
year = {2007}
}
Comments
23 pages. Refereed version, to appear in JPAA