Plurigenera of compact connected strongly pseudoconvex CR manifolds In memory of Salah Baouendi  

作　　者：LIN KePao YAU Stephen ZUO HuaiQing 

机构地区：[1]Department of Art and Science, Chang Gung University of Science and Technology [2]Department of Mathematical Sciences, Tsinghua University [3]Mathematical Sciences Center, Tsinghua University

出　　处：《Science China Mathematics》2015年第3期525-530,共6页中国科学：数学（英文版）

基　　金：supported by the Start-Up Fund from Tsinghua University and National Natural Science Foundation of China(Grant No.11401335)

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）.

关 键 词：plurigenera strongly pseudoconvex CR manifold 

分 类 号：O186.12[理学—数学]