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Mappings between balls with geometric and degeneracy rank two

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Abstract

The paper is devoted to the study of rational proper holomorphic maps from the unit ball \(\mathbb{B}^n\) to the unit ball \(\mathbb{B}^N\). We classify these maps with both the geometric rank and the degeneracy rank less than or equal to two.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 11301215, 11571260 and 11722110). The authors are indebted to the referees for many very helpful suggestions and comments.

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Authors and Affiliations

  1. Department of mathematics, Jilin Normal University, Siping, 136000, China

    Xiaoliang Cheng

  2. Department of Mathematics, University of Houston, Houston, TX, 77204, USA

    Shanyu Ji

  3. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

    Wanke Yin

Authors
  1. Xiaoliang Cheng
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  2. Shanyu Ji
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  3. Wanke Yin
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Correspondence to Shanyu Ji.

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Cheng, X., Ji, S. & Yin, W. Mappings between balls with geometric and degeneracy rank two. Sci. China Math. 62, 1947–1960 (2019). https://doi.org/10.1007/s11425-017-9214-6

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  • DOI: https://doi.org/10.1007/s11425-017-9214-6

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