表兄弟群与Hodge结构
Cousin groups and Hodge structures
摘要：
我们考虑几何性质的霍奇表哥组，介绍了在一个未发表的文件\cite{OVV}，强调的情况下霍奇表哥组对应的极化$\mathbb{Q}$霍奇结构。在此基础上，我们引入了交换Cousin群类，并证明了它的Poincaré完全约化定理的一个类似定理。
英文摘要：
We consider the geometric properties of Hodge Cousin groups, introduced in an unpublished paper \cite{OVV}, emphasizing the case of Hodge Cousin groups corresponding to polarized $\mathbb{Q}$-Hodge structures. Basing on this consideration, we introduce the class of abelian Cousin groups and prove an analogue of Poincaré complete reducibility theorem for them.
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。
