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math.CV2019
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…
math.AG2019
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 .…
math.AG2019
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…