activity
20212026
most citedConcavity of minimal integrals related to multipler ideal sheaves

2 citations · 3 across the 14 of their papers we have counts for

collaborators
Showing 2022Show all

8 papers · 1 filter

math.CV2022

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…

math.CV2022★ 1 cited

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…

math.CV2022

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…

math.CV2022

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…

math.CV2022

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…

math.CV2022

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…

math.CV2022

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…

math.CV2022

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…