Let E be a very ample bector bundle of rank n-1 over a smooth complex projective variety X of dimension n \ge 3. Let k be the Kodaira dimension of K_X+ det E. The structure of (X,E) being known when k \le 0, we investigate the structure of the adjunction mapping when 0 < k < n.
On the adjunction mapping of very ample vector bundles of corank one / A. Lanteri, M. Palleschi, A.J. Sommese. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 356:6(2004), pp. 2307-2324.
On the adjunction mapping of very ample vector bundles of corank one
A. LanteriPrimo
;M. PalleschiSecondo
;
2004
Abstract
Let E be a very ample bector bundle of rank n-1 over a smooth complex projective variety X of dimension n \ge 3. Let k be the Kodaira dimension of K_X+ det E. The structure of (X,E) being known when k \le 0, we investigate the structure of the adjunction mapping when 0 < k < n.
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