Yinji Li

activity

20232025

collaborators

9 papers

math.CV2025

Characterization of negative line bundles whose Grauert blow-down are quadratic transforms

Fusheng Deng, Yinji Li, Qunhuan Liu +1

We show that the Grauert blow-down of a holomorphic negative line bundle $L$ over a compact complex space is a quadratic transform if and only if $k_{0} L^{*}$ is very ample and $(k_0+1…

math.CV2025

Log truncated threshold and zero mass conjecture

Fusheng Deng, Yinji Li, Qunhuan Liu +2

For plurisubharmonic functions $φ$ and $ψ$ lying in the Cegrell class of $B^{n}$ and $B^{m}$ respectively such that the Lelong number of $φ$ at the origin vanishes, w…

math.CV2024

Multiplicites and modifications, and singularities associated to blowing down negative vector bundles

Fusheng Deng, Yinji Li, Qunhuan Liu +1

We first present the mixed Hilbert-Samuel multiplicities of analytic local rings over \mathbb{C} as generalized Lelong numbers and further represent them as intersection numbers in…

math.AG2024

Uniqueness of irreducible desingularization of singularities associated to negative vector bundles

Fusheng Deng, Yinji Li, Qunhuan Liu +1

We prove that the irreducible desingularization of a singularity given by the Grauert blow down of a negative holomorphic vector bundle over a compact complex manifold is unique up…

math.CV2024

On the Range of a class of Complex Monge-Ampère operators on compact Hermitian manifolds

Yinji Li, Zhiwei Wang, Xiangyu Zhou

Let $(X, ω)$ be a compact Hermitian manifold of complex dimension $n$ . Let $β$ be a smooth real closed $(1, 1)$ form such that there exists a function $ρ\in \mbox{PSH}(X,β)\cap L^{\i…

math.DG2023

Monge-Ampère type equation on compact Hermitian manifolds

Yinji Li, Genglong Lin, Xiangyu Zhou

Given a cohomology $(1, 1)$ -class ${β}$ of compact Hermitian manifold $(X, ω)$ possessing a bounded potential and fixed a model potential $ϕ$ , motivated by Darvas-Di Nezza-Lu and L…

math.CV2023

A note on Demailly's transcendental Morse inequalities conjecture

Yinji Li, Zhiwei Wang, Xiangyu Zhou

Let $(X, ω)$ be an $n$ -dimensional compact Hermitian manifold with $ω$ a pluriclosed Hermitian metric, i.e. $d d^{c} ω = 0$ . Let ${α}, {β} \in H_{B C}^{1, 1} (X, R)$ be two nef clas…

math.CV2023

On several problems in p-Bergman theory

Yinji Li

In this paper, we first answer Chen-Zhang's problem on $p$ -Bergman metric proposed in \cite{CZ22}. Second, we prove the off-diagonal p-Bergman kernel function $K_{p} (z, w)$ is Hölder…

math.CV2023

Degenerate complex Monge-Amp\` ere type equations on compact Hermitian manifolds and applications

Yinji Li, Zhiwei Wang, Xiangyu Zhou

We show the existence and uniqueness of bounded solutions to the degenerate complex Monge-Ampère type equations on compact Hermitian manifolds. We also study the asymptotics of the…