A rigidity result for proper holomorphic maps between balls
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- by Edgar Gevorgyan, Haoran Wang and Andrew Zimmer;
- Proc. Amer. Math. Soc. 152 (2024), 1573-1585
- DOI: https://doi.org/10.1090/proc/16717
- Published electronically: February 14, 2024
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Abstract:
In this note, we prove a rigidity result for proper holomorphic maps between unit balls that have many symmetries and which extend to $\mathcal {C}^2$-smooth maps on the boundary.References
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Bibliographic Information
- Edgar Gevorgyan
- Affiliation: Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706
- Address at time of publication: Department of Mathematics, Rice University, Houston, Texas 77005
- Email: gevorgyan@wisc.edu
- Haoran Wang
- Affiliation: Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706
- Address at time of publication: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- Email: haoranw@umich.edu
- Andrew Zimmer
- Affiliation: Department of Mathematics, University of Wisconsin-Madison, Madison, Wisconsin 53706
- MR Author ID: 831053
- Email: amzimmer2@wisc.edu
- Received by editor(s): July 3, 2023
- Published electronically: February 14, 2024
- Additional Notes: The first and second authors were participants in an REU at UW-Madison in the Summer of 2022 supported by National Science Foundation grants DMS-2037851, DMS-1653264, and DMS-2105580.
The third author was partially supported by a Sloan research fellowship and grants DMS-2105580 and DMS-2104381 from the National Science Foundation. - Communicated by: Filippo Bracci
- © Copyright 2024 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 152 (2024), 1573-1585
- MSC (2020): Primary 32H35; Secondary 32H40, 53C24, 22F50
- DOI: https://doi.org/10.1090/proc/16717
- MathSciNet review: 4709227