Qunhuan Liu

collaborators

3 papers

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…