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arXiv:math/0412117 [math.AG]AbstractReferencesReviewsResources

The dimension of the Hilbert scheme of special threefolds

GianMario Besana, Maria Lucia Fania

Published 2004-12-06Version 1

The Hilbert scheme of projective 3-folds of codimension 3 or more that are linear scrolls over the projective plane or over a smooth quadric surface or that are quadric or cubic fibrations over the projective line is studied. All known such threefolds of degree from 7 to 11 are shown to correspond to smooth points of an irreducible component of their Hilbert scheme, whose dimension is computed. A relationship with the locus of good determinantal subschemes is investigated

Comments: To appear in Communications in Algebra
Categories: math.AG
Subjects: 14J30, 14M07, 14N25, 14N30
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