Let X be a smooth complex projective variety endowed with an ample vector bundle ε admitting a global section whose zero locus is a smooth subvariety Z of the expected dimension, and let H be an ample line bundle on X, whose restriction HZ to Z is very ample. Triplets (X, ε, H) are studied and classified under the assumption that the delta genus of (Z, HZ) is either small (≤ 3) or small in comparison with the corank of ε or the degree. © de Gruyter 2008.
Lanteri, A., Novelli, C. (2008). Ample vector bundles with zero loci of small Δ-genera. ADVANCES IN GEOMETRY, 8(2), 227-256 [10.1515/ADVGEOM.2008.016].
Ample vector bundles with zero loci of small Δ-genera
NOVELLI, CARLA
2008
Abstract
Let X be a smooth complex projective variety endowed with an ample vector bundle ε admitting a global section whose zero locus is a smooth subvariety Z of the expected dimension, and let H be an ample line bundle on X, whose restriction HZ to Z is very ample. Triplets (X, ε, H) are studied and classified under the assumption that the delta genus of (Z, HZ) is either small (≤ 3) or small in comparison with the corank of ε or the degree. © de Gruyter 2008.
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