Let X be a smooth complex projective n-fold and let Z be a smooth submanifold of dimension \geq 2, which is the zero locus of a section of an ample vector bundle E of rank n-dim(Z) \geq 2 on X. Let H be an ample line bundle on X whose restiction H_Z to Z is very ample. Triplets (X,E,H) as above are classified under the assumption that the polarized manifold (Z,H_Z) admits a hyperelliptic curve section.

Ample vector bundles with zero loci having a hyperelliptic curve section / A. Lanteri, A.J. Sommese. - In: FORUM MATHEMATICUM. - ISSN 0933-7741. - 15:4(2003), pp. 525-542.

Ample vector bundles with zero loci having a hyperelliptic curve section

A. Lanteri;
2003

Abstract

Let X be a smooth complex projective n-fold and let Z be a smooth submanifold of dimension \geq 2, which is the zero locus of a section of an ample vector bundle E of rank n-dim(Z) \geq 2 on X. Let H be an ample line bundle on X whose restiction H_Z to Z is very ample. Triplets (X,E,H) as above are classified under the assumption that the polarized manifold (Z,H_Z) admits a hyperelliptic curve section.
ample vector bundle ; adjunction theory ; special variety ; hyperelliptic curve ; del Pezzo manifold
Settore MAT/03 - Geometria
2003
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/23442
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