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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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

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