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

DOI10.1007/s00208-023-02604-yarXiv2110.07673OpenAlexW4324057385WikidataQ121746677 ScholiaQ121746677MaRDI QIDQ6117875

Yun Gao, Sui-Chung Ng

Publication date: 21 February 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.07673

Mathematics Subject Classification ID

CR manifolds as boundaries of domains (32V15) Proper holomorphic mappings, finiteness theorems (32H35)

Cites Work

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• Maps from the two-ball to the three-ball
• The linearity of proper holomorphic maps between balls in the low codimension case
• Polynomial proper maps between balls
• Rational proper holomorphic maps from \(\mathbf B^n\) into \(\mathbf B^{2n}\)
• On the third gap for proper holomorphic maps between balls
• Bounding the rank of Hermitian forms and rigidity for CR mappings of hyperquadrics
• A new gap phenomenon for proper holomorphic mappings from \(\mathbb B^n\) into \(\mathbb B^N\)
• Rigidity of proper holomorphic maps among generalized balls with Levi-degenerate boundaries
• Mapping \(B^n\) into \(B^{2n-1}\)

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