摘要翻译:
我们发现并研究了一类具有仿射Weyl群对称性的五参数四维耦合Painlev\'e\V系统族,其对称性为$d_5^{(1)}$。然后,我们给出了从这些系统到具有仿射Weyl群对称性的四参数四维耦合Painlev\'eⅢ系统的汇合的显式描述。
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英文标题:
《Four-dimensional Painlev\'e systems of types $D_5^{(1)}$ and $B_4^{(1)}$》
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作者:
Yusuke Sasano
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最新提交年份:
2008
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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 find and study a five-parameter family of four-dimensional coupled Painlev\'e V systems with affine Weyl group symmetry of type $D_5^{(1)}$. We then give an explicit description of a confluence from those systems to a four-parameter family of four-dimensional coupled Painlev\'e III systems with affine Weyl group symmetry of type $B_4^{(1)}$.
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PDF链接:
https://arxiv.org/pdf/0704.3386