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 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
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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
. |
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ISSN: | 0046-5755 1572-9168 |
DOI: | 10.1007/s10711-007-9220-2 |