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.
Received: 2006-12-18
Published Online: 2008-05-21
Published in Print: 2008-April
© de Gruyter 2008