Parabolic vector bundles on curves
Parabolic vector bundles on curves
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曲线上的抛物线向量束
DOI：
10.1007/bf02386356
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
U. Bhosle
中科院分区：
文献类型：
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作者：
U. Bhosle
Seshadri引入了向量丛上抛物结构的概念[4]，后来又构造了曲线上半稳定抛物向量丛的模空间[2]。在这个小的注记中，我们描述了模空间的一种不同的构造，推广了Gieseker [1]的方法。这有一些好处。这种构造比[2]中的构造简单得多，也短得多。它避免了酉丛的使用，因此适用于正特征线。人们不需要介绍和比较不同的抛物结构。此外，在这里必须重复的一些计算（命题2）在这种方法中变得更简单。抛物主丛的推广将在随后的论文中考虑。
Seshadri introduced the notion of parabolic structures on vector bundles [4] and later constructed a moduli space for semistable parabolic vector bundles on curves [2]. In this small note we describe a different construction of the moduli space generalising the method of Gieseker [1]. This has some advantages. This construction is much simpler and shorter than in [2]. It avoids the use of unitary bundles and hence is applicable in positive characteristics. One does not need the introduction and comparison of different parabolic structures. Moreover, some computations which have to be repeated here (proposition 2) become simpler in this method. The generalisation to parabolic principal bundles will be considered in a subsequent paper.