Let E be an ample vector bundle of rank r \geq 2 on a smooth complex projective variety X of dimension n such that there exists a global section of E whose zero locus Z is a smooth subvariety of dimension n-r \geq 2 of X. Let H be an ample line bundle on X such that the restriction H_Z of H to Z is very ample. Triplets (X,E,H) with g(Z,H_Z)=3 are classified, where g(Z,H_Z) is the sectional genus of (Z,H_Z).
Projective manifolds of sectional genus three as zero loci of sections of ample vector bundles / A. Lanteri, H. Maeda. - In: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. - ISSN 0305-0041. - 144:1(2008 Jan), pp. 109-118.
Projective manifolds of sectional genus three as zero loci of sections of ample vector bundles
A. LanteriPrimo
;
2008
Abstract
Let E be an ample vector bundle of rank r \geq 2 on a smooth complex projective variety X of dimension n such that there exists a global section of E whose zero locus Z is a smooth subvariety of dimension n-r \geq 2 of X. Let H be an ample line bundle on X such that the restriction H_Z of H to Z is very ample. Triplets (X,E,H) with g(Z,H_Z)=3 are classified, where g(Z,H_Z) is the sectional genus of (Z,H_Z).Pubblicazioni consigliate
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