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

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概要

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• Smooth complex surfaces polarized with an ample and globally gen-erated 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 L is removed.

• 社団法人 日本数学会の論文

著者

• Besana Gian

  School Of Computer Science Telecommunication And Information Systems De Paul University

• Di Rocco

  Department Of Mathematics Kth Royal Institute Of Technology

• Di Rocco

  Department Of Cardiovascular Medicine Catholic University Of The Sacred Heart

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