Yinji Li

activity

20232025

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Showing 2023Show all

4 papers · 1 filter

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…