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Ample vector bundles and polarized manifolds of sectional genus three
-
Luca Benzo
and
Antonio Lanteri
Published/Copyright:
August 19, 2011
Abstract
Let ℰ be an ample vector bundle of rank r ≥ 2 on a smooth complex projective variety X of dimension n having a global section whose zero locus Z is a smooth subvariety of dimension n – r ≥ 3 of X. Let H be an ample line bundle on X such that its restriction HZ to Z is generated by global sections. The structure of triplets (X, ℰ, H) is determined under the assumption that (Z, HZ) has sectional genus g(Z, HZ) = 3.
Key words.: Ample vector bundles; adjunction theory; polarized varieties; curve genus; special varieties; Fano manifolds
Received: 2009-09-17
Revised: 2009-11-04
Published Online: 2011-08-19
Published in Print: 2011-November
© de Gruyter 2011
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Keywords for this article
Ample vector bundles;
adjunction theory;
polarized varieties;
curve genus;
special varieties;
Fano manifolds
Articles in the same Issue
- Quasigeodesics and farthest points on convex surfaces
- The geometry of canal surfaces and the length of curves in de Sitter space
- On the mutual position of two irreducible conics in PG(2, q), q odd
- On the symmetric average of a convex body
- Ample vector bundles and polarized manifolds of sectional genus three
- Flat Laguerre planes of Kleinewillinghöfer type III.B
- Quotients of hypersurfaces in weighted projective space
- Characterizing the mixed volume
- Uniqueness of lattice packings and coverings of extreme density
- On the classification of convex lattice polytopes
- Blichfeldt-type inequalities and central symmetry
- Valuations on function spaces
