Asymptotic estimate of a twisted Cauchy-Riemann operator with Neumann boundary condition

作     者：Hao WEN 

作者机构：School of Mathematical Sciences Peking University Beijing 100871 China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2017年第12卷第6期

页      面：1469-1481页

核心收录：

学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 08[工学] 

主　　题：Asymptotic estimate residue pairing 

摘      要：Abstract For a holomorphic function f defined on a strongly pseudo-convex domain in Cn such that it has only isolated critical points, we define a twisted Cauchy-Riemann operator -δτf ：-δ＋τδf∧. We will give an asymptotic estimate of the corresponding harmonic forms as T tends to infinity. This asymptotic estimate is used to recover the residue pairing of the singularity defined by f.