2 papers
math.AG2025
Finite generation of higher rank quasi-monomial valuations via the extended Rees algebra
Zhiyuan Chen
In the algebraic theory of K-stability, one of the most challenging problems is to show the graded algebra associated with certain higher rank quasi-monomial valuations are finitel…
math.AG2025
Stable degeneration of families of klt singularities with constant local volume
Zhiyuan Chen
We prove that for a locally stable family of klt singularities with constant local volume, the ideal sequences of the minimizing valuations for the normalized volume function form…