All Title Author
Keywords Abstract

Mathematics  2000 

On polarized surfaces of low degree whose adjont bundles are not spanned

Full-Text   Cite this paper   Add to My Lib


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.


comments powered by Disqus

Contact Us


微信:OALib Journal