摘要
Strongly pseudoconvex CR manifolds are boundaries of Stein varieties with isolated normal singularities.We introduce a series of new invariant plurigeneraδm,m∈Z+for a strongly pseudoconvex CR manifold.The main purpose of this paper is to present the following result:Let X1and X2be two compact strongly pseudoconvex embeddable CR manifolds of dimension 2n-1 3.If there is a non-constant CR morphism from X1to X2,thenδm(X2)δm(X1)whereδm(Xi)is the plurigeneus of Xi(see Definition 2.4).
Strongly pseudoconvex CR manifolds are boundaries of Stein varieties with isolated normal singularities.We introduce a series of new invariant plurigeneraδm,m∈Z＋for a strongly pseudoconvex CR manifold.The main purpose of this paper is to present the following result：Let X1and X2be two compact strongly pseudoconvex embeddable CR manifolds of dimension 2n-1≥ 3.If there is a non-constant CR morphism from X1to X2,thenδm（X2）≤δm（X1）whereδm（Xi）is the plurigeneus of Xi（see Definition 2.4）.
基金
supported by the Start-Up Fund from Tsinghua University and National Natural Science Foundation of China(Grant No.11401335)
