The dimension of the Hilbert scheme of special threefolds

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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
To appear in Communications in Algebra

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Algebraic Geometry, 14J30; 14M07; 14N25; 14N30

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http://salesiana.dossiersoluciones.com/handle/123456789/73497

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412117
 http://arxiv.org/abs/math/0412117

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arXiv