• Corpus ID: 18531459

Recent Progress on Two Problems in Several Complex Variables

@inproceedings{Ji2007RecentPO,
  title={Recent Progress on Two Problems in Several Complex Variables},
  author={Xiaojun Ji and Wanke Yin},
  year={2007}
}
We discuss the recent progress on two problems in Several Complex Variables. The first one is on the gap phenomenon for proper holomorphic maps between balls. The second one is on the precise holomorphic structure of Bishop surfaces near a vanishing Bishop invariant. 
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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,
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