Let E be an ample vector bundle on a projective manifold X, with a section vanishing on a smooth subvariety of the expected dimension, and let H be an ample line bundle on X inducing a very ample line bundle H_Z on Z. Triplets (X,E,H) as above are classified assuming that Z, embedded by |H_Z|, is a variety of small degree with respect to codimension
Varieties of small degree with respect to codimension and ample vector bundles / A. Lanteri, C. Novelli. - In: JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. - ISSN 0025-5645. - 60:2(2008 May), pp. 341-361.
Varieties of small degree with respect to codimension and ample vector bundles
A. LanteriPrimo
;
2008
Abstract
Let E be an ample vector bundle on a projective manifold X, with a section vanishing on a smooth subvariety of the expected dimension, and let H be an ample line bundle on X inducing a very ample line bundle H_Z on Z. Triplets (X,E,H) as above are classified assuming that Z, embedded by |H_Z|, is a variety of small degree with respect to codimension
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