2 citations · 3 across the 14 of their papers we have counts for
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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 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…
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…
A Remark on Optimal extension theorem for holomorphic vector bundles
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this note, we present an optimal extension theorem for holomorphic vector bundles with smooth hermitian metrics for continuous gain on weakly pseudoconvex Kähler manifolds…
Concavity property of minimal integrals with Lebesgue measurable gain II
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this article, we present a concavity property of the minimal integrals related to multiplier ideal sheaves with Lebesgue measurable gain on weakly pseudoconvex Kähler ma…
Optimal extension for holomorphic vector bundles with singular hermitian metrics
Qi'an Guan, Zhitong Mi, Zheng Yuan
In the present paper, we study the properties of singular Nakano positivity of singular hermitian metrics on holomorphic vector bundles, and establish an optimal extension th…
Boundary points, minimal integrals and concavity property V -- vector bundles
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this article, for singular hermitian metrics on holomorphic vector bundles, we consider minimal integrals on sublevel sets of plurisubharmonic functions on weakly pseudoco…
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…
Boundary points, minimal integrals and concavity property IV -- fibrations over open Riemann surfaces
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this article, we consider the minimal integrals related to modules at boundary points on fibrations over open Riemann surfaces, and present a characterization for the conc…
Boundary points, minimal integrals and concavity property III -- linearity on Riemann surfaces
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this article, we consider a modified version of minimal integrals on sublevel sets of plurisubharmonic functions related to modules at boundary points, and obtain a concav…
Boundary points, minimal integrals and concavity property II: on weakly pseudoconvex Kähler manifolds
Qi'an Guan, Zhitong Mi, Zheng Yuan
In this article, we consider minimal integrals on the sublevel sets of plurisubharmonic functions on weakly pseudoconvex Kähler manifolds with Lebesgue measurable gain relate…
Concavity of minimal integrals related to multipler ideal sheaves
Qi'an Guan, Zhitong Mi
In this note, we present the concavity of the minimal integrals related to multiplier ideals sheaves on Stein manifolds. As applications, we obtain a necessary condition for…