The characterization of aCM line bundles on quintic hypersurfaces in P3

The characterization of aCM line bundles on quintic hypersurfaces in P3

Let X be a smooth quintic hypersurface in P 3 , let C be a smooth hyperplane section of X , and let H = O X ( C ) . In this paper, we give a necessary and sufficient condition for the line bundle given by a non-zero effective divisor on X to be initialized and aCM with respect to H .

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Veröffentlicht in:Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2021, Vol.91 (2), p.179-197
1. Verfasser: Watanabe, Kenta
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Differential Geometry
Geometry
Hyperplanes
Hyperspaces
Mathematics
Mathematics and Statistics
Number Theory
Topology
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Zusammenfassung:Let X be a smooth quintic hypersurface in P 3 , let C be a smooth hyperplane section of X , and let H = O X ( C ) . In this paper, we give a necessary and sufficient condition for the line bundle given by a non-zero effective divisor on X to be initialized and aCM with respect to H .
ISSN:0025-5858
1865-8784
DOI:10.1007/s12188-021-00250-2