35 citations · 94 across the 21 of their papers we have counts for
7 papers · 1 filter
Valuative invariants with higher moments
Kewei Zhang
In this article we introduce a family of valuative invariants defined in terms of the -th moment of the expected vanishing order. These invariants lie between and -invari…
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…
Compensated Convex Based Transforms for Image Processing and Shape Interrogation
Antonio Orlando, Elaine Crooks, Kewei Zhang
This paper reviews some recent applications of the theory of the compensated convex transforms or of the proximity hull as developed by the authors to image processing and shape in…
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…
Continuity of delta invariants and twisted Kähler--Einstein metrics
Kewei Zhang
We show that delta invariant is a continuous function on the big cone. We will also introduce an analytic delta invariant and show its continuity in the Kähler cone, from which we…
Delta invariants of projective bundles and projective cones of Fano type
Kewei Zhang, Chuyu Zhou
In this paper, we will give a precise formula to compute delta invariants of projective bundles and projective cones of Fano type.
On the optimal volume upper bound for Kähler manifolds with positive Ricci curvature (with an appendix by Yuchen Liu)
Kewei Zhang
Using -invariants and Newton--Okounkov bodies, we derive the optimal volume upper bound for Kähler manifolds with positive Ricci curvature, from which we get a new characterizat…