Ample vector bundles with zero loci having a bielliptic curve section of low degree

Let be an ample vector bundle of rank r  ≥  2 on a smooth complex projective variety X of dimension n such that there exists a global section of 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 H Z to Z is very a...

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Veröffentlicht in:Geometriae dedicata 2008-02, Vol.131 (1), p.111-122
Hauptverfasser: Lanteri, Antonio, Maeda, Hidetoshi
Format: Artikel
Sprache:eng
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Zusammenfassung:Let be an ample vector bundle of rank r  ≥  2 on a smooth complex projective variety X of dimension n such that there exists a global section of 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 H Z to Z is very ample. Triplets are classified under the assumption that ( Z , H Z ) has a smooth bielliptic curve section of genus  ≥  3 with .
ISSN:0046-5755
1572-9168
DOI:10.1007/s10711-007-9220-2