A Note on ξ-Bergman Kernels
摘要
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.