摘要翻译：
本文发现了一个具有仿射Weyl群对称性的四维双参数耦合Painlev系统族，其对称性为$D_3^{（2）}$。我们还发现了维数为8的具有仿射Weyl群对称性的四参数2-耦合$D_3^{（2）}$-系统族，其对称性为$D_5^{（2）}$。我们证明了对于每一个系统，我们分别给出了它的对称性和全纯性条件。这些对称性、全纯条件和不变因子都是新的。
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英文标题：
《Coupled Painlev\'e systems with affine Weyl group symmetry of types
  $D_3^{(2)}$ and $D_5^{(2)}$》
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作者：
Yusuke Sasano
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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：
  In this paper, we find a two-parameter family of coupled Painlev\'e systems in dimension four with affine Weyl group symmetry of type $D_3^{(2)}$. We also find a four-parameter family of 2-coupled $D_3^{(2)}$-systems in dimension eight with affine Weyl group symmetry of type $D_5^{(2)}$. We show that for each system, we give its symmetry and holomorphy conditions, respectively. These symmetries, holomorphy conditions and invariant divisors are new.
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PDF链接：
https://arxiv.org/pdf/0705.4540