10 papers · 1 filter
The existence of valuative interpolation at a singular point
Shijie Bao, Qi'an Guan, Zhitong Mi +1
The present paper studies the existence of valuative interpolation on the local ring of an irreducible analytic subvariety at singular points. We firstly develop the concepts and m…
The existence of valuative interpolation
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In this article, using key tools including Zhou valuations, Tian functions and a convergence result for relative types, we establish necessary and sufficient conditions for the exi…
On the -Bergman kernel with respect to a functional
Shijie Bao, Qi'an Guan, Xun Sun
In the present paper, we generalize the notion of the -Bergman kernel and the -Bergman kernel to the -Bergman kernel with respect to a functional , and establish some…
Demailly's approximation of general weights
Shijie Bao, Qi'an Guan
In this note, we demonstrate the convergence of the Demailly approximation of a general (weakly) upper semi-continuous weight.
Zhou valuations and jumping numbers
Shijie Bao, Qi'an Guan, Zheng Yuan
In this article, we prove that for any Zhou valuation , there exists a graded sequence of ideals and a nonzero ideal such that $\ma…
The log-plurisubharmonicity of fiberwise Bergman kernels for variant functionals
Shijie Bao, Qi'an Guan, Zheng Yuan
In this paper, we establish the log-plurisubharmonicity of fiberwise -Bergman kernels for a family of variant functionals, thereby addressing a question posed by Bo Berndtsson…