NONCONSTANT CR MORPHISMS BETWEEN COMPACT STRONGLY PSEUDOCONVEX CR MANIFOLDS AND ETALE COVERING BETWEEN RESOLUTIONS OF ISOLATED SINGULARITIES

作者：Tu Yu Chao^*; Yau Stephen S T; Zuo Huaiqing

来源：Journal of Differential Geometry, 2013, 95(2): 337-354.

Strongly pseudoconvex CR manifolds are boundaries of Stein varieties with isolated normal singularities. We prove that any non-constant CR morphism between two (2n-1)-dimensional strongly pseudoconvex CR manifolds lying in an n-dimensional Stein variety with isolated singularities are necessarily a CR biholomorphism. As a corollary, we prove that any nonconstant self map of (2n - 1)-dimensional strongly pseudoconvex CR manifold is a CR automorphism. We also prove that a finite etale covering map between two resolutions of isolated normal singularities must be an isomorphism.

• 出版日期2013-10
• 单位清华大学