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Higher order bad loci
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-7186-1524
2007 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 211, no 2, 414-427 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2007. Vol. 211, no 2, 414-427 p.
Keyword [en]
ample line bundles, hilbert schemes, surfaces
URN: urn:nbn:se:kth:diva-16855DOI: 10.1016/j.jpaa.2007.01.015ISI: 000248630100010OAI: diva2:334898
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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Di Rocco, Sandra
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