The dimension of the Hilbert scheme of special threefolds
Algebraic Geometry
2007-05-23 v1
Abstract
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
Keywords
Cite
@article{arxiv.math/0412117,
title = {The dimension of the Hilbert scheme of special threefolds},
author = {GianMario Besana and Maria Lucia Fania},
journal= {arXiv preprint arXiv:math/0412117},
year = {2007}
}
Comments
To appear in Communications in Algebra