7 citations · 33 across the 23 of their papers we have counts for
23 papers
Componentwise rigidity of holomorphic isometric maps between bounded symmetric domains with negative conformal factors
Ming Xiao
Let be an irreducible bounded symmetric domain of complex dimension at least two. We study local holomorphic maps from into products of irreducible bounded symmetric domain…
Degree-Three Rational Sphere Maps: Sharp Denominator Region and Gram Normal Forms
Eden Danielsen-Jensen, Dusty Grundmeier, Abdullah Al Helal +4
We study degree-three rational sphere maps in two complex variables. After a standard normalization, the denominator of such a map takes the form \[ g_σ(z)=1+σ_1 z_1^2+σ_2 z_2^2, \…
Kähler-Einstein Bergman metrics on pseudoconvex domains of dimension two
Nikhil Savale, Ming Xiao
We prove that a two dimensional pseudoconvex domain of finite type with a Kähler-Einstein Bergman metric is biholomorphic to the unit ball. This answers an old question of Yau for…
Kähler-Einstein metrics and obstruction flatness II: unit sphere bundles
Peter Ebenfelt, Ming Xiao, Hang Xu
This paper concerns obstruction flatness of hypersurfaces that arise as unit sphere bundles of Griffiths negative Hermitian vector bundles over Kähler manifolds…
Kähler-Einstein metrics and obstruction flatness of circle bundles
Peter Ebenfelt, Ming Xiao, Hang Xu
Obstruction flatness of a strongly pseudoconvex hypersurface in a complex manifold refers to the property that any (local) Kähler-Einstein metric on the pseudoconvex side of $Σ…
Algebraic Bergman kernels and finite type domains in
Peter Ebenfelt, Ming Xiao, Hang Xu
Let be a smoothly bounded pseudoconvex domain and assume that the Bergman kernel of is algebraic of degree . We show that the boundary …
Borel chain conditions of Borel posets
Ming Xiao
We study the coarse classification of partial orderings using chain conditions in the context of descriptive combinatorics. We show that (unlike the Borel counterpart of many other…
On the classification of normal Stein spaces and finite ball quotients with Bergman-Einstein metrics
Peter Ebenfelt, Ming Xiao, Hang Xu
In this paper, we study the Bergman metric of a finite ball quotient , where is a finite, fixed point free, abelian group. W…
Algebraicity of the Bergman Kernel
Peter Ebenfelt, Ming Xiao, Hang Xu
Our main result introduces a new way to characterize two-dimensional finite ball quotients by algebraicity of their Bergman kernels. This characterization is particular to dimensio…
Symmetries and regularity for holomorphic maps between balls
John P. D'Angelo, Ming Xiao
Let be a holomorphic map. We study subgroups and . When is…
Holomorphic isometries between products of complex unit balls
Shan Tai Chan, Ming Xiao, Yuan Yuan
We first give an exposition on holomorphic isometries from the Poincaré disk to polydisks and from the Poincaré disk to the product of the Poincaré disk with a complex unit ball. A…
Symmetries in CR complexity theory
John P. D'Angelo, Ming Xiao
We introduce the Hermitian-invariant group of a proper rational map between the unit ball in complex Euclidean space and a generalized ball in a space of typically higher…
Complexity of holomorphic maps from the complex unit ball to classical domains
Ming Xiao, Yuan Yuan
We study the complexity of holomorphic isometries and proper maps from the complex unit ball to type IV classical domains. We investigate on degree estimates of holomorphic isometr…
Regularity of CR-mappings into Levi-degenerate hypersurfaces
Ilya Kossovskiy, Bernhard Lamel, Ming Xiao
We provide regularity results for CR-maps between real hypersurfaces in complex spaces of different dimension with a Levi-degenerate target. We address both the real-analytic and t…
Proper holomorphic maps from the unit disk to some unit ball
John P. D'Angelo, Zhenghui Huo, Ming Xiao
We study proper rational maps from the unit disk to balls in higher dimensions. After gathering some known results, we study the moduli space of unitary equivalence classes of poly…
Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics
Xiaojun Huang, Ming Xiao
The first part of the article surveys some work on the Chern-Moser-Weyl tensor and its application in the embeddability problem into hyperquadrics. In the last section, we give a n…
Holomorphic maps from the complex unit ball to Type IV classical domains
Ming Xiao, Yuan Yuan
We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain where $n \geq 4, n+1\leq m \leq 2…
Bergman-Einstein metrics, hyperbolic metrics and Stein spaces with spherical boundaries
Xiaojun Huang, Ming Xiao
In this new version, we give an affirmative solution to a conjecture of Cheng proposed in 1979 which asserts that the Bergman metric of a smoothly bounded strongly pseudoconvex dom…
Volume-preserving maps between Hermitian symmetric spaces of compact type
Hanlong Fang, Xiaojun Huang, Ming Xiao
In this paper, we establish the rigidity result for local holomorphic volume preserving maps from an irreducible Hermitian manifold of compact type into its Cartesian products.
On the embeddability of real hypersurfaces into hyperquadrics
Ilya Kossovskiy, Ming Xiao
In this paper, we provide {\em effective} results on the non-embeddability of real-analytic hypersurfaces into a hyperquadric. We show that, for any , the defining fun…
On the regularity of CR mappings between CR manifolds of hypersurface type
Shiferaw Berhanu, Ming Xiao
We prove smooth and analytic versions of the classical Schwarz reflection principle for transversal CR mappings between two CR manifolds of hypersurface type.
On the version of the reflection principle for mappings between CR manifolds
Shiferaw Berhanu, Ming Xiao
We prove a smooth version of the classical Schwarz reflection principle for CR mappings between an abstract CR manifold and a generic CR manifold embedded in euclidean complex…
Non-embeddability into a fixed sphere for a family of compact real algebraic hypersurfaces
Xiaojun Huang, Xiaoshan Li, Ming Xiao
We study the holomorphic embedding problem from a compact strongly pseudoconvex real algebraic hypersurface into a sphere of higher dimension. We construct a family of compact stro…