摘要翻译:
本文完成了从{GM,X9}开始的抛物函数奇点与复晶体群的对称性的研究。我们对在第二同调上分裂交形核的$P_8$奇点的光滑自同构进行了分类。对于这种自同构,作用于退化交型特征空间的对偶上的单群被识别为引用{P}中的某些复仿射反射群。
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英文标题:
《Automorphisms of $P_8$ singularities and the complex crystallographic
groups》
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作者:
Victor Goryunov and Dmitry Kerner
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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:
The paper completes the study of symmetries of parabolic function singularities with relation to complex crystallographic groups that was started in \cite{GM,X9}. We classify smoothable automorphisms of $P_8$ singularities which split the kernel of the intersection form on the second homology. For such automorphisms, the monodromy groups acting on the duals to the eigenspaces with degenerate intersection form are then identified as some of complex affine reflection groups tabled in \cite{P}.
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PDF链接:
https://arxiv.org/pdf/0806.1720