Yinji Li

collaborators

5 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 $I ¨ $ and $I ¨ $ lying in the Cegrell class of $B^{n}$ and $B^{m}$ respectively such that the Lelong number of $I ¨ $ at the origin vanishes…

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.DG2024

Monge-AmpÃ¨re type equation on compact Hermitian manifolds

Yinji Li, Genglong Lin, Xiangyu Zhou

Given a cohomology $(1, 1)$ -class ${I^^{2}}$ of compact Hermitian manifold $(X, I ¨ )$ possessing a bounded potential and fixed a model potential $I ¨ $ , motivated by Darvas-Di Nezza-Lu an…