曲线上平凡束的极限

Pub Date : 2017-12-20 DOI:10.46298/epiga.2018.volume2.4454

A. Beauville

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摘要

我们试图描述曲线C上的2阶向量束，它们是平凡束的特化。当Cis Brill-Noether泛型或超椭圆时，我们得到了一个完备的分类;在这两种情况下，所有的极限向量束都是可分解的。我们给出了一些特殊曲线的不可分解极限束的例子。评论:最终版本，发表在Epiga

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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Limits of the trivial bundle on a curve

We attempt to describe the rank 2 vector bundles on a curve C which are specializations of the trivial bundle. We get a complete classifications when C is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit vector bundles are decomposable. We give examples of indecomposable limit bundles for some special curves. Comment: Final version, published in Epiga

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