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

doi:10.1007/s11464-017-0650-3

Frontiers of Mathematics in China

2017, Vol. 12

Issue (6): 1469-1481 https://doi.org/10.1007/s11464-017-0650-3

本期目录

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

Hao WEN(

)

School of Mathematical Sciences, Peking University, Beijing 100871, China

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Abstract：

For a holomorphic function f defined on a strongly pseudo-convex domain in $? n$ such that it has only isolated critical points, we define a twisted Cauchy-Riemann operator $∂ ‾ τ f : ∂ ‾ + τ ∂ f ∧$ . We will give an asymptotic estimate of the corresponding harmonic forms as τ tends to infinity. This asymptotic estimate is used to recover the residue pairing of the singularity defined by f.

Key words： Asymptotic estimate residue pairing

收稿日期: 2016-08-04 出版日期: 2017-11-27

Corresponding Author(s): Hao WEN

引用本文:

. [J]. Frontiers of Mathematics in China, 2017, 12(6): 1469-1481.
Hao WEN. Asymptotic estimate of a twisted Cauchy-Riemann operator with Neumann boundary condition. Front. Math. China, 2017, 12(6): 1469-1481.

链接本文:

https://academic.hep.com.cn/fmc/CN/10.1007/s11464-017-0650-3
https://academic.hep.com.cn/fmc/CN/Y2017/V12/I6/1469

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