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arXiv:1410.8065 [math.AG]AbstractReferencesReviewsResources

On linear systems of P^3 with nine base points

Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel

Published 2014-10-29Version 1

We study special linear systems of surfaces of P^3 interpolating nine points in general position having a quadric as fixed component. By performing degenerations in the blown-up space, we interpret the quadric obstruction in terms of linear obstructions for a quasi-homogeneous class. By degeneration we also prove a Nagata type result for P^2 that implies a base locus lemma for the quadric. As an application we establish Laface-Ugaglia Conjecture for linear systems with multiplicities bounded by 8 and for homogeneous linear systems with multiplicity m and degree up to 2m+1.

Comments: 24 pages. arXiv admin note: text overlap with arXiv:0812.0032 by other authors
Categories: math.AG, math.AC
Subjects: 14C20, 14J70, 14J26
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