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Generalized Adjunction of k‐Very Ample Vector Bundles on Algebraic Surfaces II |
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| Authors: | Kazuyoshi Takahashi |
| Abstract: | We study the k‐very ampleness of the adjoint bundle KS + det E associated to a (k — 1)‐very ample vector bundle E with degree greater than or equal to 4k + 5 on an algebraic surface S. We classify polarized surfaces (S, E) which the k‐very ampleness of KS + det E fails. |
| Keywords: | Higher order embeddings k‐very ampleness vector bundles |