• Corpus ID: 239009544

A hyperplane restriction theorem for holomorphic mappings and its application for the gap conjecture

  title={A hyperplane restriction theorem for holomorphic mappings and its application for the gap conjecture},
  author={Yung Gao and 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 OPn(d). Our theorem allows us to give the first proof for the existence of gaps (albeit smaller) at all levels for the rational proper maps between complex unit balls, conjectured by Huang-Ji-Yin. In addition, our proof does not distinguish the unit balls from other generalized balls and thus it simultaneously demonstrates the… 
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