On polarized surfaces of low degree whose adjont bundles are not spanned
Algebraic Geometry
2007-05-23 v1
Abstract
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. Scrolls of a vector bundle over a smooth curve are shown to be the only examples in degree three. Two classes of examples in degree four are presented, one of which is shown to characterize regular such pairs. A Reider-type theorem is obtained in which the assumption on the degree of the polarization is removed.
Keywords
Cite
@article{arxiv.math/0009122,
title = {On polarized surfaces of low degree whose adjont bundles are not spanned},
author = {Gian Mario Besana and Sandra Di Rocco},
journal= {arXiv preprint arXiv:math/0009122},
year = {2007}
}
Comments
11 pages