An application of exceptional bundles to the moduli of stable sheaves on a K3 surface
An application of exceptional bundles to the moduli of stable sheaves on a K3 surface
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特殊束在 K3 表面稳定滑轮模量中的应用
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发表时间：
1997
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通讯作者：
K. Yoshioka
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作者：
K. Yoshioka
设M（v）为Mukai向量v的K3曲面X上稳定层的模，若v为本原，则M（v）可变形为某个Hilbert格式，权二hogde结构可由H^*（X，Z）描述.如果秩为1或2，或者第一个陈类是本原类，则这些类被Mukai、O'Grady和Huybrechts所知。在关于M（v）维数的某些条件下，我们将证明这些断言为真。为了证明，我们将使用Huybrechts关于辛流形的结果。
Let M(v) be the moduli of stable sheaves on K3 surfaces X of Mukai vector v. If v is primitive, than it is expected that M(v) is deformation equivalent to some Hilbert scheme and weight two hogde structure can be described by H^*(X,Z). These are known by Mukai, O'Grady and Huybrechts if rank is 1 or 2, or the first Chern class is primitive. Under some conditions on the dimension of M(v), we shall show that these assertion are true. For the proof, we shall use Huybrechts's results on symplectic manifolds.