4 citations · 4 across the 7 of their papers we have counts for
7 papers · 1 filter
Stable degeneration and birational geometry
Lu Qi
This expository article is based on the author's talk at the Kinosaki Algebraic Geometry Symposium 2025. We discuss some recent progress surrounding stable degeneration in algebrai…
A note on b-divisors and filtrations on a local ring
Lu Qi
In this note, we prove a correspondence between filtrations and b-divisors over a general class of Noetherian local domains. As an application in the global setting, we prove a rec…
Stable Degenerations of log Fano Fibration Germs
Jiyuan Han, Minghao Miao, Lu Qi +2
We prove the stable degeneration conjecture of log Fano fibration germs formulated by Sun-Zhang. Precisely, we introduce the -invariant for filtrations over a log Fano…
Boundedness in general type MMP
Jingjun Han, Lu Qi, Ziquan Zhuang
We show that in any sequence of a general type MMP, the minimal log discrepancy of singularities takes at most finitely many values, and the fibers of all the extremal contractions…
ACC for local volumes
Jingjun Han, Jihao Liu, Lu Qi
We prove the ACC conjecture for local volumes. Moreover, when the local volume is bounded away from zero, we prove Shokurov's ACC conjecture for minimal log discrepancies.
ACC for local volumes and boundedness of singularities
Jingjun Han, Yuchen Liu, Lu Qi
The ACC conjecture for local volumes predicts that the set of local volumes of klt singularities satisfies the ACC if the coefficients of belong to a DCC set. In t…
ACC for log canonical threshold polytopes
Jingjun Han, Zhan Li, Lu Qi
We show that the log canonical threshold polytopes of varieties with log canonical singularities satisfy the ascending chain condition.