The characterization of aCM line bundles on quintic hypersurfaces in ℙ^3

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg（2021）

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摘要

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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关键词

ACM line bundles,Quintic hypersurface,Curve,Gonality

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