论文标题
$ og10 $类型的流形的符号偶然歧义的分类
Classification of Symplectic Birational Involutions of Manifolds of $OG10$ type
论文作者
论文摘要
我们对$ og10 $类型的流形的符合性的男子率交流进行了完整的分类。我们通过三种技术进行分类 - 通过水ech晶格的参与，通过Cubic Fourdolds的参与，最后通过修改后的Kneser的邻居算法列举了晶格。该分类包括三个参与，并通过立方四倍的明确的几何实现，以及三个杰出的参数，这些差异无法通过任何已知的结构获得。
We give a complete classification of symplectic birational involutions of manifolds of $OG10$ type. We approach this classification with three techniques -- via involutions of the Leech lattice, via involutions of cubic fourfolds and finally lattice enumeration via a modified Kneser's neighbour algorithm. The classification consists of three involutions with an explicit geometric realisation via cubic fourfolds, and three exceptional involutions which cannot be obtained by any known construction.
