The characterization of aCM line bundles on quintic hypersurfaces in \(\mathbb {P}^3\)

IF 0.4 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2021-09-28 DOI:10.1007/s12188-021-00250-2

Kenta Watanabe

引用次数: 2

Abstract

Let X be a smooth quintic hypersurface in \(\mathbb {P}^3\), let C be a smooth hyperplane section of X, and let \(H=\mathcal {O}_X(C)\). 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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五次超曲面上aCM线束的表征 \(\mathbb {P}^3\)

设X是\（\mathbb｛P｝^3\）中的光滑五次超曲面，设C是X的光滑超平面截面，设\（H=\mathcal{O}_X（C） \）。本文给出了X上一个非零有效除数给出的线束初始化的充要条件和关于H的aCM。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The first issue of the "Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg" was published in the year 1921. This international mathematical journal has since then provided a forum for significant research contributions. The journal covers all central areas of pure mathematics, such as algebra, complex analysis and geometry, differential geometry and global analysis, graph theory and discrete mathematics, Lie theory, number theory, and algebraic topology.