4 papers
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…