3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.AG2024
On the geometry of spaces of filtrations on local rings
Lu Qi
We study the geometry of spaces of fitrations on a Noetherian local domain. We introduce a metric on the space of saturated filtrations, inspired by the Darvas metric in comp…
math.AG2022★ 3 cited
Convexity of multiplicities of filtrations on local rings
Harold Blum, Yuchen Liu, Lu Qi
We prove that the multiplicity of a filtration of a local ring satisfies various convexity properties. In particular, we show the multiplicity is convex along geodesics. As a conse…