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arXiv · 2212.01561

A note on $\xi-$Bergman kernels

Shijie Bao·Qi'an Guan·Zheng Yuan
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Abstract

In the present note, we introduce the $\xi-$complex singularity exponents, which come from the asymptotic property of $\xi-$Bergman kernels on sub-level sets of plurisubharmonic functions; give some relations (including a closedness property) among $\xi-$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 $\xi-$complex singularity exponents.

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Shijie Bao, Qi'an Guan, Zheng Yuan. 2022-12-03. A note on $\xi-$Bergman kernels. https://doi.org/10.1007/s11464-023-0021-1

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