Peculiar loci of ample and spanned line bundles

• 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. Polarized surfaces of small degree, or whose degree is the square of a prime, with nonempty bad loci are completely classified. Several explicit examples are offered to describe the variety of behaviors of the two loci.

Keyword

varieties

surfaces

Publication and Content Type

ref (subject category)

art (subject category)