Anti de Sitter 2-空间中的类时曲线研究（英文）

本文介绍了Anti de Sitter 2-空间中类时曲线的Anti de Sitter渐屈线的概念,利用具有Anti de Sitter双曲线的类时曲线的切触几何方法,本文也研究了上述空间中渐屈线奇点的几何意义.

Proper Holomorphic Maps from Domains in C2 with Transverse Circle Action

The authors consider proper holomorphic mappings between smoothly bounded pseudoconvex regions in complex 2-space,where the domain is of finite type and admits a transverse circle action.The main result is that the closure of each irreducible component of the branch locus of such a map intersects the boundary of the domain in the union of finitely many orbits of the group action.

Ellipticity on spaces with higher singularities

We study corner-degenerate pseudo-differential operators of any singularity order and develop ellipticity based on the principal symbolic hierarchy, associated with the stratification of the underlying space. We construct parametrices within the calculus and discuss the aspect of additional trace and potential conditions along lower-dimensional strata.