Deformation classes of real four-dimensional cubic hypersurfaces
Deformation classes of real four-dimensional cubic hypersurfaces
复制标题
实四维立方超曲面的变形类
DOI：
10.1090/s1056-3911-08-00491-8
复制
发表时间：
2006
影响因子：
1.8
通讯作者：
V. Kharlamov
中科院分区：
文献类型：
--
作者：
S. Finashin;V. Kharlamov
本文研究了真实的非奇异三次超曲面XP_5在变形等价和射影等价条件下的性质，证明了它们可由H_4（X）中复共轭所诱导的对合的共轭类来分类.此外，我们提供了一个图K4，其顶点表示的等价类，这样的立方和边缘表示它们的邻接。图K4与表征真实的非极化K3-曲面的某个邻接的图K3基本一致。模态族中最熟悉的逻辑是由一种称为K（以扫罗·克里普克命名）的弱逻辑构成的。在狭义阅读下，模态逻辑关注的是必要性和可能性.使用K作为基础，可以为这样的逻辑开发各种不同的系统。
We study real nonsingular cubic hypersurfaces XP 5 up to defor- mation equivalence combined with projective equivalence and prove that they are classified by the conjugacy classes of involutions induced by the complex conjuga- tion in H4(X). Moreover, we provide a graph K4 whose vertices represent the equivalence classes of such cubics and edges represent their adjacency. It turns out that the graph K4 essentially coincides with the graph K3 characterizing a certain adjacency of real non-polarized K3-surfaces. The most familiar logics in the modal family are con- structed from a weak logic called K (after Saul Kripke). Under the narrow reading, modal logic concerns neces- sity and possibility. A variety of different systems may be developed for such logics using K as a foundation.