The dimension of the Hilbert scheme of special threefolds

Details The dimension of the Hilbert scheme of special threefolds The dimension of the Hilbert scheme of special threefolds

2004-12-06

arxiv.org/abs/math/0412117v1

Mathematics

Algebraic Geometry

To appear in Communications in Algebra

Scientific paper

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

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