144 citations · 777 across the 46 of their papers we have counts for
25 papers · 1 filter
Stability thresholds for big classes
Chenzi Jin, Yanir A. Rubinstein, Gang Tian
In 1987, the -invariant theorem gave a fundamental criterion for existence of Kahler-Einstein metrics on smooth Fano manifolds. In 2012, Odaka-Sano extended the framework to $\m…
Eguchi--Hanson metrics arising from Kahler--Einstein edge metrics
Yuxiang Ji, Yanir A. Rubinstein, Kewei Zhang
Calabi--Hirzebruch manifolds are higher-dimensional generalizations of both the football and Hirzebruch surfaces. We construct a family of Kahler--Einstein edge metrics singular al…
Angle deformation of Kähler-Einstein edge metrics on Hirzebruch surfaces
Yanir A. Rubinstein, Kewei Zhang
We construct a family of Kähler-Einstein edge metrics on all Hirzebruch surfaces using the Calabi ansatz and study their angle deformation. This allows us to verify in some special…
Basis divisors and balanced metrics
Yanir A. Rubinstein, Gang Tian, Kewei Zhang
Using log canonical thresholds and basis divisors Fujita--Odaka introduced purely algebro-geometric invariants whose limit in is now known to characterize uniform K-stabi…
Small angle limits of Hamilton's footballs
Yanir A. Rubinstein, Kewei Zhang
Compact Ricci solitons on surfaces have at most two cone points, and are known as Hamilton's footballs. In this note we completely describe the degenerations of these footballs as…
On the Ricci iteration for homogeneous metrics on spheres and projective spaces
Timothy Buttsworth, Artem Pulemotov, Yanir A. Rubinstein +1
We study the Ricci iteration for homogeneous metrics on spheres and complex projective spaces. Such metrics can be described in terms of modifying the canonical metric on the fiber…