摘要翻译：
本文给出了计算复射影曲面超越格的Zariski-van Kampen型方法。作为应用，我们计算了复奇异K3曲面的超越格，它与定义在实二次域上的A_{10}+A_{9}$型最大化性元的算术Zariski对相关，并且在有理数域上彼此共轭。
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英文标题：
《Zariski-van Kampen method and transcendental lattices of certain
  singular K3 surfaces》
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作者：
Ken-ichiro Arima, Ichiro Shimada
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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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英文摘要：
  We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type $A_{10}+A_{9}$ that are defined over a real quadratic field and are conjugate to each other over the field of rational numbers.
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PDF链接：
https://arxiv.org/pdf/0806.3311