A note on $ξ-$Bergman kernels
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908448348700672 |
|---|---|
| author | Bao, Shijie Guan, Qi'an Yuan, Zheng |
| author_facet | Bao, Shijie Guan, Qi'an Yuan, Zheng |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_01561 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A note on $ξ-$Bergman kernels Bao, Shijie Guan, Qi'an Yuan, Zheng Complex Variables [2010]32D15, 32E10, 32L10, 32U05, 32W05 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. |
| title | A note on $ξ-$Bergman kernels |
| topic | Complex Variables [2010]32D15, 32E10, 32L10, 32U05, 32W05 |
| url | https://arxiv.org/abs/2212.01561 |