arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0901.4280math.CV
收藏

复流形的经典对称性

Classical Symmetries of Complex Manifolds

Alan Huckleberry, Alexander Isaev

摘要:

我们考虑允许经典简单实李群的全纯变换作用的复流形,并在自然情况下对所有此类流形进行分类。在我们的假设下,这需要手头的组是维数理论上大的流形上,它的作用,我们的分类结果指出,出现的流形被精确地描述为不变的开子集的某些复杂的旗流形相关联的复杂的群体。

英文摘要:

We consider complex manifolds that admit actions by holomorphic transformations of classical simple real Lie groups and classify all such manifolds in a natural situation. Under our assumptions, which require the group at hand to be dimension-theoretically large with respect to the manifold on which it is acting, our classification result states that the manifolds which arise are described precisely as invariant open subsets of certain complex flag manifolds associated to the complexified groups.

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。

↑