A note on $\xi-$Bergman kernels
Complex Variables
2025-07-15 v2
Abstract
In the present note, we introduce the complex singularity exponents, which come from the asymptotic property of Bergman kernels on sub-level sets of plurisubharmonic functions; give some relations (including a closedness property) among 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 complex singularity exponents.
Keywords
Cite
@article{arxiv.2212.01561,
title = {A note on $\xi-$Bergman kernels},
author = {Shijie Bao and Qi'an Guan and Zheng Yuan},
journal= {arXiv preprint arXiv:2212.01561},
year = {2025}
}
Comments
22 pages. All comments are welcome! We fixed some typos