5 citations · 6 across the 20 of their papers we have counts for
20 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…
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 p…
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…
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.
Equivalence of the sharp effectiveness results of strong openness property
Shijie Bao, Qi'an Guan
In this paper, we show the equivalence of the sharp effectiveness results of the strong openness property of multiplier ideal sheaves obtained in \cite{BG1} using Bergman kerne…
On the multipoled global Zhou weights and semi-continuity for Zhou numbers
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In the present paper, we give the definition and properties of the multipoled global Zhou weights. Some approximation and convergence results of multipoled global Zhou weights are…
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 $\math…
Tame maximal weights, relative types and valuations
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In this article, we obtain a class of tame maximal weights (Zhou weights). Using Tian functions (the function of jumping numbers with respect to the exponents of a holomorphic func…
Concavity property of minimal integrals with Lebesgue measurable gain VIII -- partial linearity and log-convexity
Shijie Bao, Qi'an Guan, Zheng Yuan
In this article, we give some necessary conditions for the concavity property of minimal integrals degenerating to partial linearity, a charaterization for the concavity dege…
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 t…
A note on Bergman kernels
Shijie Bao, Qi'an Guan, Zheng Yuan
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 functi…
Concavity property of minimal integrals with Lebesgue measurable gain VI: fibrations over products of open Riemann surfaces
Shijie Bao, Qi'an Guan, Zheng Yuan
In this article, we present characterizations of the concavity property of minimal integrals degenerating to linearity in the case of fibrations over products of open Riemann…
Concavity property of minimal integrals with Lebesgue measurable gain V--fibrations over open Riemann surfaces
Shijie Bao, Qi'an Guan, Zheng Yuan
In this article, we present characterizations of the concavity property of minimal integrals degenerating to linearity in the case of fibrations over open Riemann surfaces. A…
Fiberwise Bergman kernels, vector bundles, and log-subharmonicity
Shijie Bao, Qi'an Guan
In this article, we consider Bergman kernels related to modules at boundary points for singular hermitian metrics on holomorphic vector bundles, and obtain a log-subharmonicity pro…
Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity II -- on Stein manifolds
Shijie Bao, Qi'an Guan
In this article, we consider Bergman kernels related to modules at boundary points on Stein manifolds, and obtain a log-subharmonicity property of the Bergman kernels. As applicati…
Concavity property of minimal integrals with Lebesgue measurable gain VII -- Negligible weights
Shijie Bao, Qi'an Guan, Zhitong Mi +1
In this article, we present characterizations of the concavity property of minimal integrals with negligible weights degenerating to linearity on the fibrations over open Rie…
Modules at boundary points, fiberwise Bergman kernels, and log-subharmonicity
Shijie Bao, Qi'an Guan
In this article, we consider Bergman kernels with respect to modules at boundary points, and obtain a log-subharmonicity property of the Bergman kernels, which deduces a concavity…
Boundary points, Minimal integrals and Concavity property
Shijie Bao, Qi'an Guan, Zheng Yuan
For the purpose of proving the strong openness conjecture of multiplier ideal sheaves, Jonsson-Mustaţă posed an enhanced conjecture and proved the two-dimensional case, which says…