On the third gap for proper holomorphic maps between balls

By Xiaojun Huang, S. Ji, W. Yin. 2012

63 citations recorded by the source corpus.

Let $$F$$F be a proper rational map from the complex ball $$\mathbb B ^n$$Bn into $$\mathbb B ^N$$BN with $$n>7$$n>7 and $$3n+1 \le N\le 4n-7$$3n+1≤N≤4n-7. Then $$F$$F is equivalent to a map $$(G, 0, \dots , 0)$$(G,0,⋯,0) where $$G$$G is a proper holomorphic map from $$\mathbb B ^n$$Bn into $$\mathbb B ^{3n}$$B3n.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/080453a2a2b5e398aca66b75fa9faee90e770fa6