2004/12/06 by GianMario Besana, Besana, GianMario, Maria Lucia Fania +1
Mathematics · #14J30 #14M07 #14N25 #14N30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14J30 #msc:14M07 #msc:14N25 #msc:14N30
paper · pdf · doi:10.48550/arxiv.math/0412117
To appear in Communications in Algebra
arxiv created 2004/12/06 · arxiv updated 2009/12/01
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