35 citations · 94 across the 21 of their papers we have counts for
22 papers
A transcendental approach to non-Archimedean metrics of pseudoeffective classes
Tamás Darvas, Mingchen Xia, Kewei Zhang
We introduce the concept of non-Archimedean metrics attached to a transcendental pseudoeffective cohomology class on a compact Kähler manifold. This is obtained via extending the R…
Twisted Kähler-Einstein metrics in big classes
Tamás Darvas, Kewei Zhang
We prove existence of twisted Kähler-Einstein metrics in big cohomology classes, using a divisorial stability condition. In particular, when is big, we obtain a uniform Yau-…
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…
A quantization proof of the uniform Yau-Tian-Donaldson conjecture
Kewei Zhang
Using quantization techniques, we show that the -invariant of Fujita-Odaka coincides with the optimal exponent in certain Moser-Trudinger type inequality. Consequently we obtain…
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…
Some refinements of the partial estimate
Kewei Zhang
Relying on the recent work of Liu-Székelyhidi we give a weak asymptotic estimate for the Bergman kernels of polarized Kähler manifolds with Ricci lower bound and Sobolev constant u…
On the Cheltsov--Rubinstein conjecture
Kento Fujita, Yuchen Liu, Hendrik Süß +2
In this note we investigate the Cheltsov--Rubinstein conjecture. We show that this conjecture does not hold in general and some counterexamples will be presented.
Compensated Convexity on Bounded Domains, Mixed Moreau Envelopes and Computational Methods
Kewei Zhang, Antonio Orlando, Elaine Crooks
Compensated convex transforms have been introduced for extended real-valued functions defined over . In their application to image processing, interpolation, and shap…
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…
Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces
Ivan A. Cheltsov, Yanir A. Rubinstein, Kewei Zhang
The purpose of this article is to develop techniques for estimating basis log canonical thresholds on logarithmic surfaces. To that end, we develop new local intersection estimates…
Delta invariants of smooth cubic surfaces
Ivan Cheltsov, Kewei Zhang
We prove that -invariants of smooth cubic surfaces are at least .
Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Applications to Contour Lines, Sparse Data and Inpainting
Kewei Zhang, Elaine Crooks, Antonio Orlando
This paper is concerned with applications of the theory of approximation and interpolation based on compensated convex transforms developed in [K. Zhang, E. Crooks, A. Orlando, Com…
Predictability of Irregular Human Mobility
Kewei Zhang, Minkyoung Kim, Raja Jurdak +1
Understanding human mobility is critical for decision support in areas from urban planning to infectious diseases control. Prior work has focused on tracking daily logs of outdoor…
Compensated Convex Transforms and Geometric Singularity Extraction from Semiconvex Functions
Kewei Zhang, Elaine Crooks, Antonio Orlando
We apply upper and lower compensated convex transforms, which are `tight' one-sided approximations of a given function, to the extraction of fine geometric singularities from semic…
Compensated Convexity Methods for Approximations and Interpolations of Sampled Functions in Euclidean Spaces: Theoretical Foundations
Kewei Zhang, Elaine Crooks, Antonio Orlando
We introduce Lipschitz continuous and geometric approximation and interpolation methods for sampled bounded uniformly continuous functions over compact sets and over comp…
Compensated Convexity, Multiscale Medial Axis Maps and Sharp Regularity of the Squared Distance Function
Kewei Zhang, Elaine Crooks, Antonio Orlando
We introduce a new stable mathematical model for locating and measuring the medial axis of geometric objects, called the quadratic multiscale medial axis map of scale , and prov…