3 papers
math.AG2024
A counterexample to Tian's Stabilization Conjecture
Chenzi Jin
It was conjectured by Tian that the global log canonical threshold (known as the -invariant) is equal to the level log canonical threshold (known as the -invariant) for…
math.DG2023
The Cheltsov--Rubinstein problem for strongly asymptotically log del Pezzo surfaces
Chenzi Jin
The notion of (strongly) asymptotically log Fano varieties was introduced in 2013 by Cheltsov--Rubinstein, who posed the problem of classifying all strongly asymptotically log del…
math.CV2022
Chebyshev potentials, Fubini--Study metrics, and geometry of the space of Kähler metrics
Chenzi Jin, Yanir A. Rubinstein
The Chebyshev potential of a Kähler potential on a projective variety, introduced by Witt Nyström, is a convex function defined on the Okounkov body. It is a generalization of the…