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Generalized Adjunction of k-Very Ample Vector Bundles on Algebraic Surfaces |
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| Authors: | Kazuyoshi Takahashi Hiroyuki Terakawa |
| Affiliation: | (1) Department of Mathematics, School of Science and Engineering, Waseda University, 3-4-1, Okubo Sinjuku-ku Tokoy, 169, Japan; e-mail;(2) Department of Mathematics, School of Education, Waseda University, 1-6-1, Nishi-Waseda Sinjuku-ku Tokyo, 169-50, Japan; e-mail |
| Abstract: | We study the k-very ampleness of the adjoint bundle K S+det E associated to a k-very ample vector bundle E on an algebraic surface S. We extend the results of Beltrametti and Sommese to the vector bundle case and give the classification of the pairs (S, E) such that the preservation of k-very ampleness fails. |
| Keywords: | higher order embeddings k-very ampleness vector bundles. |
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