144 citations · 777 across the 46 of their papers we have counts for
10 papers · 1 filter
Symmetry notions for toric Fanos
Chenzi Jin, Yanir A. Rubinstein, Yang Zhang
We survey various notions of symmetry for toric varieties. These notions range from algebraic geometric, complex geometric, representation theoretic, combinatorial, convex geometri…
Asymptotics of discrete Okounkov bodies and thresholds
Chenzi Jin, Yanir A. Rubinstein, Gang Tian
This article initiates the study of discrete Okounkov bodies and higher-dimensional Weierstrass gap phenomena, with applications to asymptotic analysis of stability and global log…
Asymptotics of quantized barycenters of lattice polytopes with applications to algebraic geometry
Chenzi Jin, Yanir A. Rubinstein
This article addresses a combinatorial problem with applications to algebraic geometry. To a convex lattice polytope and each of its integer dilations one may associate th…
Tian's stabilization problem for toric Fanos
Chenzi Jin, Yanir A. Rubinstein
In 1988, Tian posed the stabilization problem for equivariant global log canonical thresholds. We solve it in the case of toric Fano manifolds. This is the first general result on…
On the body of ample angles of asymptotically log Fano varieties
Paolo Cascini, Jesus Martinez-Garcia, Yanir A. Rubinstein
In dimension two, we reduce the classification problem for asymptotically log Fano pairs to the problem of determining generality conditions on certain blow-ups. In any dimension,…
Classification of strongly asymptotically log del Pezzo flags and surfaces
Yanir A. Rubinstein
We introduce the notion of strongly asymptotically log del Pezzo flags, and classify such flags under the assumption that their zero-dimensional part lies in the boundary. We use t…