Let epsilon be an ample vector bundle on a projective manifold X, with a section vanishing on a smooth subvariety Z of the expected dimension, and let H be an ample line bundle on X inducing a very ample ample line bundle H-Z on Z. Triplets (X, epsilon, H) as above are classified assuming that Z, embedded by vertical bar H-Z vertical bar, is a variety of small degree with respect to codimension

Lanteri, A., Novelli, C. (2008). Varieties of small degree with respect to codimension and ample vector bundles. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 60(2), 341-361 [10.2969/jmsj/06020341].

Varieties of small degree with respect to codimension and ample vector bundles

Novelli, C
2008

Abstract

Let epsilon be an ample vector bundle on a projective manifold X, with a section vanishing on a smooth subvariety Z of the expected dimension, and let H be an ample line bundle on X inducing a very ample ample line bundle H-Z on Z. Triplets (X, epsilon, H) as above are classified assuming that Z, embedded by vertical bar H-Z vertical bar, is a variety of small degree with respect to codimension
Articolo in rivista - Articolo scientifico
Ample vector bundles, special varieties, Δ-genus, adjunction theory, Fano manifolds, classification
English
2008
60
2
341
361
none
Lanteri, A., Novelli, C. (2008). Varieties of small degree with respect to codimension and ample vector bundles. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 60(2), 341-361 [10.2969/jmsj/06020341].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/10571
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