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Higher Order Bad Loci
Gian Mario Besana, Sandra Di Rocco, Antonio Lanteri
Zero-schemes on smooth complex projective varieties, forcing all elements of ample and free linear systems to be reducible are studied. Relationships among the minimal length of su…
The dimension of the Hilbert scheme of special threefolds
GianMario Besana, Maria Lucia Fania
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 fi…
Peculiar Loci of Ample and Spanned Line Bundles
Gian Mario Besana, Sandra Di Rocco, Antonio Lanteri
The bad locus and the rude locus of an ample and base point free linear system on a smooth complex projective variety are introduced and studied. The bad locus is defined as the se…
On polarized surfaces of low degree whose adjont bundles are not spanned
Gian Mario Besana, Sandra Di Rocco
Smooth complex surfaces polarized with an ample and globally generated line bundle of degree three and four, such that the adjoint bundle is not globally generated, are considered.…