Showing math.CVShow all
3 papers · 1 filter
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 over a compact complex space is a quadratic transform if and only if 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 and lying in the Cegrell class of and respectively such that the Lelong number of 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…