Stable vector bundles with c1 = 0 on K3 surfaces

Stable vector bundles with c1 = 0 on K3 surfaces
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K3 表面上 c1 = 0 的稳定向量丛

DOI:
10.1007/pl00000419
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发表时间:
2000
影响因子:
0.6
通讯作者:
T. Nakashima
T. Nakashima
中科院分区:
数学4区
文献类型:
--
作者:
T. Nakashima

文献摘要

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本文研究了K3曲面上具有平凡第一Chern类的稳定丛。证明了这种丛存在的一个充分必要条件,并证明了Mukai的反射函子给出了模空间的一种新的紧化。理论物理中的T-对偶概念的关系也进行了讨论。
In this paper we study stable bundles with trivial first Chern class on a K3 surface. A necessary and sufficient condition for the existence of such bundles is proved and it is shown that Mukai's reflection functor gives a new compactification of the moduli space. A relation to the notion of T-duality in theoretical physics is also discussed.