Moduli Spaces of Standard Holomorphic Bundles on a Noncommutative Complex Torus
Moduli Spaces of Standard Holomorphic Bundles on a Noncommutative Complex Torus
复制标题
非交换复环上标准全纯丛的模空间
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Hoil Kim
中科院分区：
文献类型：
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作者：
Eunsang Kim;Hoil Kim
本文研究了非交换复二环面上标准全纯结构的模空间。它将表明，模空间是自然的确定与模空间的稳定丛的椭圆曲线。我们还提出了非对易复环面的镜面反射是椭圆曲线的镜面反射加上一个线性叶理。由此，我们将镜像反射上超圈的模空间与非交换复环面上标准全纯丛的模空间等同起来。
In this paper we study the moduli space of standard holomorphic structures on a noncommutative complex two torus. It will be shown that the moduli space is naturally identified with the moduli space of stable bundles on an elliptic curve. We also propose that the mirror reflection of the noncommutative complex torus is the mirror reflection of the elliptic curve together with a linear foliation. From this we identify the moduli space of super cycles on the mirror reflection with the moduli space of standard holomorphic bundles on a noncommutative complex torus.