论文标题

$ξ-$ bergman内核的注释

A note on $ξ-$Bergman kernels

论文作者

Bao, Shijie, Guan, Qi'an, Yuan, Zheng

论文摘要

在本说明中,我们介绍了$ξ-$复杂的奇异指数,该指数来自$ξ-$ bergman内核的渐近属性,该属性在plurisubharmonic函数的子级别集中;在$ξ-$复杂的奇异指数,复杂的奇异指数和跳跃数字之间提供一些关系(包括封闭属性);将复杂奇点指数(例如限制公式和亚辅助属性)的某些属性概括为$ξ-$复杂的奇异指数。

In the present note, we introduce the $ξ-$complex singularity exponents, which come from the asymptotic property of $ξ-$Bergman kernels on sub-level sets of plurisubharmonic functions; give some relations (including a closedness property) among $ξ-$complex singularity exponents, complex singularity exponents, and jumping numbers; generalize some properties of complex singularity exponents (such as the restriction formula and subadditivity property) to $ξ-$complex singularity exponents.

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