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.
|Titolo:||Ample vector bundles with zero loci having a bielliptic curve section|
|Parole Chiave:||Ample vector bundle ; bielliptic curve ; hyperplane section ; Fano manifold|
|Settore Scientifico Disciplinare:||Settore MAT/03 - Geometria|
|Data di pubblicazione:||2003|
|Appare nelle tipologie:||01 - Articolo su periodico|