Generalized adjunction of k-very ample vector bundles on algebraic surfaces II

Authors
Takahashi, K
Citation
K. Takahashi, Generalized adjunction of k-very ample vector bundles on algebraic surfaces II, MATH NACHR, 212, 2000, pp. 173-190
Citations number
20
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
212
Year of publication
2000
Pages
173 - 190
Database
ISI
SICI code
0025-584X(2000)212:<173:GAOKAV>2.0.ZU;2-1
Abstract
We study the k-very ampleness of the adjoint bundle K-S + det E associated to a (k - 1)-very ample vector bundle E with degree greater than or equal t o 4k + 5 on an algebraic surface S. We classify polarized surfaces (S, E) w hich the k-very ampleness of K-S + det E fails.