Let X be a smooth complex projective variety and let Z \subset X be a smooth submanifold of dimension \ge 2, which is the zero locus of a section of an ample vector bundle E of rank dim(X)-dim(Z) \ge 2 on X. Let H be an ample line bundle on X whose restriction H_Z to Z is very ample. Triplets (X,E,H) as above ar studied and classified under the assumption that Z is a projective manifold of high degree with respect to H_Z, admitting a a curve section which is a double cover of an elliptic curve.
Ample vector bundles with zero loci having a bielliptic curve section / A. Lanteri, H. Maeda. - In: COLLECTANEA MATHEMATICA. - ISSN 0010-0757. - 54:1(2003), pp. 73-85.
Ample vector bundles with zero loci having a bielliptic curve section
A. Lanteri;
2003
Abstract
Let X be a smooth complex projective variety and let Z \subset X be a smooth submanifold of dimension \ge 2, which is the zero locus of a section of an ample vector bundle E of rank dim(X)-dim(Z) \ge 2 on X. Let H be an ample line bundle on X whose restriction H_Z to Z is very ample. Triplets (X,E,H) as above ar studied and classified under the assumption that Z is a projective manifold of high degree with respect to H_Z, admitting a a curve section which is a double cover of an elliptic curve.
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