论文标题
20个关于压缩流形变形的开放问题
20 open questions about deformations of compactifiable manifolds
论文作者
论文摘要
复杂流形的变形理论是一个经典的主题，使用代数和分析方法在非2CACT情况下的最新进展。 在本说明中，我们回想起现有理论的一些概念，并引入了具有边界，可压缩流形和$ q $ concave空间的歧管变形的新概念。我们重点介绍了一些可能的应用程序，并提供了一些开放问题的清单，我们打算将其作为在这个丰富而美丽的主题中进行进一步研究的指南。
Deformation theory of complex manifolds is a classical subject with recent new advances in the noncompact case using both algebraic and analytic methods. In this note, we recall some concepts of the existing theory and introduce new notions of deformations for manifolds with boundary, for compactifiable manifolds, and for $q$-concave spaces. We highlight some of the possible applications and give a list of open questions which we intend as a guide for further research in this rich and beautiful subject.
