29 citations · 85 across the 5 of their papers we have counts for
5 papers · 1 filter
K-stability for varieties with a big anticanonical class
Chenyang Xu
We extend the algebraic K-stability theory to projective klt pairs with a big anticanonical class. While in general such a pair could behave pathologically, it is observed in this…
The existence of the Kähler-Ricci soliton degeneration
Harold Blum, Yuchen Liu, Chenyang Xu +1
We prove an algebraic version of the Hamilton-Tian Conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a r…
Finite generation for valuations computing stability thresholds and applications to K-stability
Yuchen Liu, Chenyang Xu, Ziquan Zhuang
We prove that on any log Fano pair of dimension whose stability threshold is less than , any valuation computing the stability threshold has a finitely generated…
K-stability of Fano varieties: an algebro-geometric approach
Chenyang Xu
We give a survey of the recent progress on the study of K-stability of Fano varieties by an algebro-geometric approach.
The essential skeleton of a degeneration of algebraic varieties
Johannes Nicaise, Chenyang Xu
In this paper, we explore the connections between the Minimal Model Program and the theory of Berkovich spaces. Let be a field of characteristic zero and let be a smooth an…