8 papers
An algebraic approach to the existence of valuative interpolation
Shijie Bao, Qi'an Guan, Zhitong Mi +1
An algebraic approach is presented for the valuative interpolation problem, which recovers and generalizes prior characterizations known in the complex analytic setting by the auth…
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…
Algebraic Zhou valuations
Shijie Bao, Qi'an Guan, Lin Zhou
In this paper, we generalize Zhou valuations, originally defined on complex domains, to the framework of general schemes. We demonstrate that an algebraic version of the Jonsson--M…
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.