Rank two vector bundles over regular elliptic surfaces
Rank two vector bundles over regular elliptic surfaces
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DOI：
10.1007/bf01393965
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发表时间：
1989-06
影响因子：
3.1
通讯作者：
R. Friedman
中科院分区：
文献类型：
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作者：
R. Friedman
自从二十五年前施瓦岑贝格的开创性著作出现以来，代数曲面上的二阶全纯向量丛已被广泛研究。 Mumford和Takemoto引入稳定性概念后，Gieseker和Maruyama构造了稳定丛的模空间。此外，Maruyama、Taubes 和 Gieseker 的研究表明，这些空间总体上并不是空的。例如，Gieseker 展示了以下内容 [9]。
Since the appearance of Schwarzenberger's pioneering works over twenty-five years ago, rank two holomorphic vector bundles over algebraic surfaces have been extensively studied. After Mumford and Takemoto introduced the notion of stability, moduli spaces of stable bundles were constructed by Gieseker and Maruyama. Moreover, work of Maruyama, Taubes, and Gieseker shows that these spaces are not in general empty. For instance, Gieseker has shown the following [9].