A note on Bergman kernels
arXiv:2212.01561 · doi:10.1007/s11464-023-0021-1
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.
22 pages. All comments are welcome! We fixed some typos