曲线对称积上重言束的判别式

IF 0.3 4区数学 Q4 MATHEMATICS

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Pub Date : 2025-02-19 DOI:10.1007/s12188-025-00287-7

Andreas Krug

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引用次数: 0

摘要

我们计算了复光滑投影曲线对称幂上重言束的判别式。由此可见，Bogomolov不等式并没有对这些同义束的稳定性给出新的限制。它只排除重言束，已经知道有结构束作为一个不稳定的子束。

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Discriminant of tautological bundles on symmetric products of curves

We compute a formula for the discriminant of tautological bundles on symmetric powers of a complex smooth projective curve. It follows that the Bogomolov inequality does not give a new restriction to stability of these tautological bundles. It only rules out tautological bundles which are already known to have the structure sheaf as a destabilising subbundle.

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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.