摘要翻译：
设我们是一个射影K3曲面。证明了S的Kahler模的0维尖点与S的扭曲Fourier-Mukai模的一一对应，从而导出了Kahler模的0维尖点的计数公式。给出了大Picard数K3曲面间有理映射的应用。当S的Picard数为1时，显式地计算了双射对应。
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英文标题：
《On the 0-dimensional cusps of the Kahler moduli of a K3 surface》
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作者：
Shouhei Ma
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最新提交年份：
2009
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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一级分类：Mathematics        数学
二级分类：Number Theory        数论
分类描述：Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数，丢番图方程，解析数论，代数数论，算术几何，伽罗瓦理论
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英文摘要：
  Let S be a projective K3 surface. It is proved that the 0-dimensional cusps of the Kahler moduli of S are in one-to-one correspondence with the twisted Fourier-Mukai partners of S. This leads to a counting formula for the 0-dimensional cusps of the Kahler moduli. Applications to rational maps between K3 surfaces with large Picard numbers are given. When the Picard number of S is 1, the bijective correspondence is calculated explicitly.
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PDF链接：
https://arxiv.org/pdf/0812.4132