Qi'an Guan

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math.CV2026

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…

math.CV2025

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…

math.CV2025

On the $p$ -Bergman kernel with respect to a functional $I^¾$

Shijie Bao, Qi'an Guan, Xun Sun

In the present paper, we generalize the notion of the $p$ -Bergman kernel and the $I^¾$ -Bergman kernel to the $p$ -Bergman kernel with respect to a functional $I^¾$ , and establish some…

math.CV2025

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.

The existence of valuative interpolation at a singular point

The existence of valuative interpolation

On the p-Bergman kernel with respect to a functional I^¾

Demailly's approximation of general weights

On the $p$ -Bergman kernel with respect to a functional $I^¾$