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Publicly Available Published by De Gruyter May 21, 2008

Ample vector bundles with zero loci of small Δ-genera

  • Antonio Lanteri and Carla Novelli
From the journal Advances in Geometry

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

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