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.
Peculiar loci of ample and spanned line bundles / G.M. Besana, S. Di Rocco, A. Lanteri. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 112:2(2003), pp. 197-219.
Peculiar loci of ample and spanned line bundles
A. Lanteri
2003
Abstract
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.
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