Global generation of adjoint line bundles on projective 5-folds

Global generation of adjoint line bundles on projective 5-folds

Let X be a smooth projective variety of dimension 5 and L be an ample line bundle on X such that L 5 > 7 5 and L d · Z ≥ 7 d for any subvariety Z of dimension 1 ≤ d ≤ 4 . We show that O X ( K X + L ) is globally generated.

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Veröffentlicht in:Manuscripta mathematica 2017-07, Vol.153 (3-4), p.545-562
Hauptverfasser: Ye, Fei, Zhu, Zhixian
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic Geometry
Bundles
Bundling
Calculus of Variations and Optimal Control
Optimization
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Topological Groups
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Zusammenfassung:Let X be a smooth projective variety of dimension 5 and L be an ample line bundle on X such that L 5 > 7 5 and L d · Z ≥ 7 d for any subvariety Z of dimension 1 ≤ d ≤ 4 . We show that O X ( K X + L ) is globally generated.
ISSN:0025-2611
1432-1785
DOI:10.1007/s00229-016-0897-0