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 codimensionFile in questo prodotto:
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