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arXiv 1907.04792math.AG
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实Cayley M-八元组的形变类

Deformation classes of real Cayley M-octads

Sergey Finashin

摘要:

研究了实射影空间中三个二次曲面相交轨迹不含共面四元曲面的8点构形。我们发现,正好存在8个镜像对的变形类的这种配置。我们还描述了这8对的相互位置,并找到真正的单值群作用于8点配置,为每个变形类。

英文摘要:

We study 8-point configurations in the real projective space forming an intersection locus of three quadrics and containing no coplanar quadruples. We found that there exists precisely 8 mirror-pairs of deformation classes of such configurations. We describe also the mutual position of these 8 pairs and find the real monodromy groups acting on the 8-point configurations, for each deformation class.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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