A note on -Bergman kernels
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.
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