Let X be a smooth complex projective variety and let Z be a smooth surface which is the zero locus of an ample vector bundle E of rank dim(X)-2 \geq 2 on X. Let H be an ample line bundle on X, whose restriction H_Z to Z is a very ample line bundle and assume that (Z,H_Z) is a Bordiga surface, i.e., a rational surface having (P^2,O(4)) as its minimal adjunction theoretic reduction. Triplets (X,E,H) as above are discussed and classified
Ample vector bundles and Bordiga surfaces / A. Lanteri, H. Maeda. - In: MATHEMATISCHE NACHRICHTEN. - ISSN 0025-584X. - 280:3(2007 Feb), pp. 302-312. [10.1002/mana.200410483]
Ample vector bundles and Bordiga surfaces
A. Lanteri;
2007
Abstract
Let X be a smooth complex projective variety and let Z be a smooth surface which is the zero locus of an ample vector bundle E of rank dim(X)-2 \geq 2 on X. Let H be an ample line bundle on X, whose restriction H_Z to Z is a very ample line bundle and assume that (Z,H_Z) is a Bordiga surface, i.e., a rational surface having (P^2,O(4)) as its minimal adjunction theoretic reduction. Triplets (X,E,H) as above are discussed and classified
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