2 citations · 3 across the 8 of their papers we have counts for
9 papers
Multiplicities of the Betti map associated to a section of an elliptic surface from a differential-geometric perspective
Ngaiming Mok, Sui-Chung Ng
For the study of the Mordell-Weil group of an elliptic curve over a complex function field of a projective curve , the first author introduced the use of differential-…
On the rank of Hermitian polynomials and the SOS Conjecture
Yun Gao, Sui-Chung Ng
Let and be its Euclidean norm. Ebenfelt proposed a conjecture regarding the possible ranks of the Hermitian polynomials in of the form $A(z,\ba…
Local orthogonal maps and rigidity of holomorphic mappings between real hyperquadrics
Yun Gao, Sui-Chung Ng
We introduced a new coordinate-free approach to study the Cauchy-Riemann (CR) maps between the real hyperquadrics in the complex projective space. The central theme is based on a n…
A hyperplane restriction theorem for holomorphic mappings and its application for the gap conjecture
Yun Gao, Sui-Chung Ng
We established a hyperplane restriction theorem for the local holomorphic mappings between projective spaces, which is inspired by the corresponding theorem of Green for homogeneou…
Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries
Sui-Chung Ng, Yuehuan Zhu
In this paper we studied a broader type of generalized balls which are domains on the complex projective with possibly Levi-degenerate boundaries. We proved rigidity theorems for p…
Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls
Yun Gao, Sui-Chung Ng, Aeryeong Seo
We extended the study of the linear fractional self maps (e.g. by Cowen-MacCluer and Bisi-Bracci on the unit balls) to a much more general class of domains, called generalized type…
On the syzygies of ample line bundles on fake projective planes
Sui-Chung Ng, Sai-Kee Yeung
Our goal is to study the syzygies of the projective embeddings defined by ample line bundles on a fake projective plane S. The syzygies are studied in terms of the property .…
Local holomorphic mappings respecting homogeneous subspaces on rational homogeneous spaces
Jaehyun Hong, Sui-Chung Ng
Let be a rational homogeneous space (not necessarily irreducible) and be the point at which the isotropy group is . The -translates of the orbit of…
On compact splitting complex submanifolds of quotients of bounded symmetric domains
Ngaiming Mok, Sui-Chung Ng
In the current article our primary objects of study are compact complex submanifolds of quotient manifolds of irreducible bounded symmetric domains by torsion free discrete lattice…